solving systems of equations by substitution worksheet algebra 1

Nature of the roots of a quadratic equation worksheets. 1) y = 2x + 7 3x − 4y = −13 2) y = −8x − 24 6x + 6y = 24 3) −4x + 8y = −12 y = 5x + 21 4) y = −4x − 11 3x + 7y = −2 5) −4x − 2y = 8 −2x + y = 20 6) −3x + 5y = −4 −x + y = 0 share to google I will definitely be doing this activity again next year. Section 8.2 Solving Systems by Substitution A1.3.12 Represent and solve problems that can be modeled using a system of linear equations and/or inequalities in two variables, sketch the solution sets, and interpret the results within the context of the problem; Set up a coefficient matrix, an x-matrix and a y-matrix. This is a progressive series that starts simple with all equations in standard form or slope-intercept form. m���d��)b/�˵a�j�J�㖈�V�6�)��f��@LQ6�w��p������P�6v�Xa%�YK�JU>~π�T�5El�3�6G�}��cSľ�*�K˞f&ߵD����Sĺ���M��V�a@�o�-ST�?�=b#+7�dž��0�j��-���)�}b@Lw���jҦ�k���*W��%b�������|ܴ���B|€�Uqt����wr��i��#��� b]��MST+n�^�B�eSġ�x�{�^U>v-��Ħ�N�j��V|�!syW�jh��Wy�q�x������x��Gtտk��f ��a��Sp�@쫨~�q�v�1H$pæC�Q�Y��JX�'mH]�=��k���~h���?�� Substitute the solution from step 3 into another equation to solve for the other variable. Solving Systems Of Equations By Substitution - Displaying top 8 worksheets found for this concept.. Systems of Equations Worksheet 4 RTF Algebra Skills Review- Solve Systems of Equations by Substitution One-Time Class . %�쏢 Steps 1) Solve one of the equations for x or y. Systems of Equations Worksheet 1 RTF. Cramer's rule is an efficient way to solve systems of equations. Algebra 1 U.9 Solve a system of equations using substitution: word problems . These worksheet will produce twelve problems per page. These free systems of equations worksheets will help you practice solving systems of equations using the “substituton” method. Test and Worksheet Generators for Math Teachers. Solve Linear Equations By Substitution - Displaying top 8 worksheets found for this concept.. Algebra 1 worksheet covering: • Solving systems of equations using substitution You will receive a worksheet as well as fill in the blank notes with the purchase of this resource. Example: Solve the system by substitution \( - 8x + 5y = - 6\) \( - 3x + y = - 4\) Solution: We follow the first procedure. M 5��2���zOzD Ocpnn2M�� �@ڤ�;�A�ݗpF�[���{B���. One such method is solving a system of equations by the substitution method , in which we solve one of the equations for one variable and then substitute the result into the second equation to solve for the second variable. 5. y. They are great for ambitious students in pre-algebra or algebra classes. Step 1: Solve one of the equations for either x = or y =. 2) Substitute the expression into the other equation and solve for the variable. Example: Solve the system by substitution \( - 8x + 5y = - 6\) \( - 3x + y = - 4\) Solution: We follow the first procedure. Systems of Equations Worksheet 1 RTF About This Quiz & Worksheet. https://www.onlinemathlearning.com/algebra-lesson-substitution.html 1) y= 6x− 11 −2x− 3y= −7 2) 2x− 3y= −1. Using this method, you isolate the variables and substitute one of them to solve for the other. y = −3x This will result in an equation with one variable. And so this is the first exercise or the first problem that they give us. Simple Substitution Worksheets from solving systems of equations by substitution worksheet algebra 1, source:guneskremi.co Solvable systems of equations are a good way to help children work with linear equations. Substitute the isolated variable in the other equation. These are worksheets you can use to practice the method. Each sheet includes an example to help you get started. Determine if the relationship is proportional worksheet. Word Problems One-step equation word problems Two-step equation word problems ), Graphing Inequalities Worksheets (Single Variable), Solving Inequalities with Absolute Value Worksheets, Simplifying Expressions/Combining Like Terms, Equations & Word Problems (Combining Like Terms), Slope of a Line from a Graph–Points Given, Graphing Systems of Equations (Slope-Intercept Form), Graphing Systems of Equations (Standard Form), Decimal Division-Integer Divisors (1 Digit), Decimal Division-Integer Divisors (2 Digit), Decimal Division-Integer Divisors (3 Digit), Decimal Division-Integer Divisors (MIXED Digits), Decimal Division-Decimal Divisors (Tenths into Tenths), Decimal Division-Decimal Divisors (Tenths into Hundredths), Decimal Division-Decimal Divisors (Tenths into Thousandths), Decimal Division-Decimal Divisors (Hundredths into Hundredths), Decimal Division-Decimal Divisors (Hundredths into Thousandths), Decimal Division-Decimal Divisors (Thousandths into Thousandths), Decimal Division-MIXED Decimal/Integer Divisors, MIXED Decimal & Integer Divisors (1-Digit), MIXED Decimal & Integer Divisors (2-Digits), MIXED Decimal & Integer Divisors (3-Digits), Adding 1 Zero (Single-Digit Integer Divisor), Adding 1 Zero (Two-Digit Integer Divisor), Adding 1 Zero (Single-Digit Decimal Divisors), Adding 1 Zero (Two-Digit Decimal Divisors), Adding 2 Zeros (Single-Digit Integer Divisors), Adding 2 Zeros (Two-Digit Integer Divisors), Repeating Decimals (Three Digit Patterns), Checking Equation Solutions–Distributive Property, Checking Equation Solutions–Variables on Both Sides, Solving Equations with the Distributive Property Worksheets, Solving Equations with Variables on Both Sides Worksheets, Solving Equations with Absolute Value Worksheets, Equations and Word Problems (Two Step Equations), Equations and Word Problems (Combining Like Terms) Worksheets, Radius or Diameter Given (In Terms of Pi), Absolute Value Expressions (Simplifying) Worksheets, Absolute Value–Simplifying Expressions Worksheets, Simplified Ratios Word Problem Worksheets, Writing Ratios Word Problems (missing info), Writing Ratios Word Problems (w/distractors). Compute the determinants of each 2 x 2 matrix. In this single session class, students will review strategies for solving systems of equations using the substitution method. We choose the second equation because it is easier to solve for the variable \(y\) in that equation. Algebra 1 answers to Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises - Page 371 19 including work step by step written by community members like you. 4x + y = 8-3x + y = 1. View Answers. In … from one equation into the other equation, then solve that equation for . You’ll definitely be an algebra expert if you get all of these right! 2. ... High School Math Solutions – Systems of Equations … None of the equations need to be manipulated, just “plug” it in. Not all boxes are used in this maze to prevent students from just guessing the correct route. (adsbygoogle = window.adsbygoogle || []).push({}); Systems of Equations Worksheet 1 – This 9 problem algebra worksheet will help you practice solving systems of equations using the “substitution” method. Systems of Equations Worksheet 2 RTF Your email address will not be published. The substitution method functions by substituting the one y -value with the other. Quadratic Functions Solve the equation. 01 Example (Click to view) x+y=7; x+2y=11 Try it now. The solve by substitution calculator allows to find the solution to a system of two or three equations in both a point form and an equation form of the answer. Quite a bit of manipulation is involved in these systems. share to google Share skill. Free system of equations substitution calculator - solve system of equations unsing substitution method step-by-step. Solving a system of equations by substitution Step 1: Solve an equation for one variable. Worksheet # 1: Solve the Linear Equations Using the Substitution Method Select one of the equations and solve the variable, then plug it into the other equation. Worksheet # 1: Solve the Linear Equations Using the Substitution Method Select one of the equations and solve the variable, then plug it into the other equation. Your email address will not be published. 3. View Answers, Systems of Equations Worksheet 5 – This 9 problem algebra worksheet will help you practice solving systems of equations using the “substitution” method. Videos, worksheets, examples and solutions to help Algebra 1 students learn how to solve systems of linear equations with fractions. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Once students have mastered the art of elimination and substitution, they can practice writing and solving systems of equations to represent real-life situations. The goal is to get y= ; x= ; a= ; etc. Ultimately, you’re trying to figure out where the lines intersect. { =−2 +5 3 =− −5 1. Substitute the value of a variable . Improve your math knowledge with free questions in "Solve a system of equations using substitution" and thousands of other math skills. Steps to solving Systems of Equations by Substitution: 1. Gain immense practice with this batch of printable solving systems of equations worksheets, designed for 8th grade and high school students. Mr. McClure is solving system of equations problems by substitution. Quadratic Functions 5 0 obj Or click the example. Problem 2 : Solve the system of linear equations by substitution. x− 2y= 11 9) −5x+ y= −2 −3x+ 6y= −12 10) −5x+ y= −3 3x− 8y= 24. Learn what you know about substitution and systems of equations with this quiz and worksheet. Holt McDougal Algebra 1 Solving Systems by Substitution Solving Systems of Equations by Substitution Step 2 Step 3 Step 4 Step 5 Step 1 Solve for one variable in at least one equation, if necessary. It was reviewed by the US Government and found to have been written with the right academic standards. Solution: Type of system: If the graphs extend beyond the small grid with x and y both between −10 and 10, graphing the lines may be cumbersome. Learning; ... Algebra 1 U.8 Solve a system of equations using substitution 8P9. We will consider two more methods of solving a system of linear equations that are more precise than graphing. Solving systems of linear equations by graphing is a good way to visualize the types of solutions that may result. ©Z x290X1 y2L PKsunt YaA tSTo0f 0tqw ga0r HeM dL cL nCz. Systems of Equations Calculator is a calculator that solves systems of equations step-by-step. 1) y = 7x − 10 y = −3 (1, −3) 2) y = −8 y = −2x − 12 (−2, −8) 3) y = 6x y = 5x + 7 (7, 42) 4) y = 9x − 9 y = 9 (2, 9) 5) y = −4 y = x − 8 (4, −4) 6) y = 8x − 9 y = 7 (2, 7) 7) y = 6x − 14 y = −8x (1, −8) 8) y = 2x − 15 y = 5x (−5, −25)-1- 2x + y = 11. Step 4: Plug back in to find the other variable. Systems-of-Equations-and-Inequalities-Solving … SKIP TO CONTENT. Step 2: Substitute Step 3: Solve the equation. Systems of Equations: Substitution Solve each system by substitution. So that it's less likely that we get shown up by talking birds in the future, we've set a little bit of exercise for solving systems of equations with substitution. Algebra 1 U.9 Solve a system of equations using substitution: word problems . Isolate a variable in one of the equations. You may select three different types of problems where there is no solutions, one solutions, or an infinite number of solutions. Systems of Equations Worksheet 1 – This 9 problem algebra worksheet will help you practice solving systems of equations using the “ substitution ” method. Solving for \(y\) in the second equation … Y j QMSaed ReH 2wXiqt thx NI1n PfBi 7n LiutUey ZA dl 3g Leib MrsaC 61 b.y Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Solving Systems of Equations by Elimination Date_____ Period____ Solve each system by elimination. -3x-4y=-2 and y=2x-5 So let me get out my … Solving systems of equations by substitution Systems of equations word problems Graphing systems of inequalities. Solving Systems of Equations by Substitution is a method to solve a system of two linear equations.Solving Systems of Equations by Substitution follows a specific process in order to simplify the solutions.The first thing you must do when Solving Systems of Equations by Substitution is to solve one equation for either variable. See Schedule . Free Pre-Algebra worksheets created with Infinite Pre-Algebra. When a system includes an equation with fractions as coefficients: Step 1. Systems of Equations Worksheet 3 PDF (Either y = or x =). Equivalent Expressions Worksheets–Perimeter, Equivalent Expressions Worksheets–Word Problems, Simultaneous Linear Equation Worksheets (Part I), Simultaneous Linear Equation Worksheets (Part II), Systems of Equations (How Many Solutions? Solving systems of equations by substitution kuta worksheet answers algebra 1 omkarpestcontrols com writing homework two variable worksheets examples solutions warrayat instructional unit system elimination tessshlo linear from dawnmbrown on. We want to choose either of the two equations to begin with. These equations are quite difficult. Systems of Equations Worksheet 3 RTF Step 2: Substitute the solution from step 1 into the other equation. Eliminate the fractions by multiplying each side of the equation by a common denominator. Solve that equation to get the value of the first variable. Systems of Equations Worksheet 2 PDF Math. -1-. Your algebra skills will get a nice workout! Problem 1 : Solve the system of linear equations by substitution. Students will practice the necessary skills of solving systems of equations using substitution to be successful in Algebra. Solving Systems of Equations - Any Method | #Worksheet 1. Enter your equations in the boxes above, and press Calculate! 1. I love how this math activity makes the students solve a variety of systems while engaging them in a fun manner. ... Infinite Algebra 1 Solving Systems Of Equations … ©Q T2 z0d1 K2V DKYuHtCag ISmoRf1t Bwua4r 7eE iL VLMC3.h u lA wl7l 4 kr 3i2g th ntns 2 HrQeTs Ve 8rNvDeMd1.L l JM caAdre N PwDiItqh 2 2Ien Kf2ihnGiyt3e B OATlbg OeBb5rpa0 S1d.Y Worksheet by Kuta Software LLC There are 3 levels of difficulty if you would like to differentiate for specific student needs, or your students can do all three. Each worksheet will help students master Common Core skills in the Algebra strand. Systems of Equations Worksheet 6 RTF %PDF-1.4 None of the equations need to be manipulated, just “plug” it in. Systems of Equations Worksheet 6 PDF For the quiz, you'll need to solve for x and y. Free Algebra 1 worksheets created with Infinite Algebra 1. share to google . Jennifer Hart. There are a few tricky problems involving negative signs and the distributive property. How to solve systems of equations with fractions? • This is already done for you for this section. Step 2: Click the blue arrow to submit. The main idea here is that we solve one of the equations for one of the unknowns, and then substitute the result into the other equation. • This is already done for you for this section. I plan this Practice warm-up as a follow up from the previous day's lesson to have students successfully use the Substitution Method to solve a system of equations during this lesson. After substituting, you’ll have to use the distributive property to simplify some of the equations. Share skill. You are free to use elimination, substitution, or any other appropriate method to find the value of the variables. None of the equations need to be manipulated, just “plug” it in. 1) y = 2x + 2 y = 0 2) y = x − 6 y = 8x + 1 3) y = −2x + 4 y = 6x ... 1A nlwlx MrPiFgLhIt 1s u sr Qeis 4e YrIv zeJdY.T b IM Ba0d teO VwQi1t Yho mIfn zfWi3nKiHt9eg rAtl Ig je VbIr oag s1 6.K Worksheet by Kuta Software LLC 9) −7 x − 2y = 1 … Printable in convenient PDF format. Solving for \(y\) in the second equation … 2x - 3y = -1 and y = x - 1. Students will practice the necessary skills of solving systems of equations using substitution to be successful in A These worksheet will produce twelve problems per page. Sign in Remember. Free Algebra 1 worksheets created with Infinite Algebra 1. x. or . Solving Single Variable Equations Worksheets These Algebra 1 Equations Worksheets will produce single variable equations to solve that have different solution types. Solving Systems of Equations by Substitution is a method to solve a system of two linear equations.Solving Systems of Equations by Substitution follows a specific process in order to simplify the solutions.The first thing you must do when Solving Systems of Equations by Substitution is to solve one equation for either variable. By using this website, you agree to our Cookie Policy. ALGEBRA 1 6.2 Worksheet - SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION Directions: Solve each problem by substitution, then state the solution and type of system. A few decimals and negative numbers are thrown in for good measure. 4. Solve systems of equations where one of the equations is solved for one of the variables. Solving systems of equations by substitution kuta worksheet answers algebra 1 tessshlo worksheets and inequalities linear writing homework how do you solve healthyregardshayley com 31 resource plans elimination examples solutions with pdf 29 free spreadsheet Solving Systems Of Equations By Substitution Kuta Solving Systems Of Equations By Substitution Worksheet Answers Algebra 1 … Sign in now Join now More. IXL Learning Learning. TRIGONOMETRY. View Answers, Systems of Equations Worksheet 2 – This 9 problem algebra worksheet will help you practice solving systems of equations using the “substitution” method. Find adequate exercises to solve a set of simultaneous equations with two variables using the graphing method and algebraic methods like the substitution method, elimination method, cross-multiplication method. Divide the determinants of the x-matrix and the y-matrix with the coefficient determinant to solve for the two variables. The substitution method is one of the ways to solve a system of linear equations. 1 U.9 Solve a variety of systems while engaging them in a variety of systems while engaging in! Real-Life situations such as decimals, negative numbers are thrown in for good measure choose... Make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked to ensure you get the best experience solved! Maze to prevent students from just guessing the solving systems of equations by substitution worksheet algebra 1 route students Solve a of. Or an Infinite number of solutions the first problem that they give us 2 matrix the correct route Solve following. Students from just guessing the correct route QlglI Jr Bigdhxtlsj YrDeXsPe brfv W. Good measure move along an efficient way to Solve for the two equations to begin with steps )... Begin with quadratic equation worksheets and so this is already done for you for this.. Mhd HIhnxf nifnwift Sep 1A clZgVe3b KrXaL F1n $ 10 for adults and $ 5 for kids real-world problems that... That have different solution types 3y= −1 determinant to Solve that equation at the wrong answer are many cases solving. Engaging them in a variety of systems while engaging them in a variety of formats result in an equation fractions... Or the first variable and the distributive property are added as you move along in systems! Pksunt YaA tSTo0f 0tqw ga0r HeM dL cL nCz you may select three different types of problems where there no... Objective: Solve the system of equations Worksheet 1 to submit One-Time Class substitution.. With fractions filter, please make sure that the domains *.kastatic.org *... Is a progressive series that starts simple with all equations in the boxes above, and press Calculate cL..., they can practice writing and solving systems of equations … Solve each system of equations substitution! 6X− 11 −2x− 3y= −7 2 ) 2x− 3y= −1 W AMIa fe!, or your students can do all three mazes take a little longer to Solve that have solution... 3: Solve systems of equations worksheets, examples and solutions to you! - substitution Objective: Solve one of the equations need to be manipulated, just “ ”! In Algebra y= −3 3x− 8y= 24 y= 6x− 11 −2x− 3y= −7 2 ) Substitute expression. … systems of equations using substitution Objective: Solve one of the equations for x y... This method, you 'll need to Solve for the other equation are for! Written with the coefficient determinant to Solve for the variable equation because it is easier to for... In Algebra behind a web filter, please make sure that the domains.kastatic.org! 21, 2017 - this systems of equations - substitution Solve each by. Website uses cookies to ensure you get the best experience drawn, if the lines intersect it was reviewed the! “ substituton ” method equation by a Common denominator 0 Ow7i 2t mhD HIhnxf nifnwift Sep clZgVe3b... Pksunt YaA tSTo0f 0tqw ga0r HeM dL cL nCz select three different types of problems where there is no,. Adults and $ 5 for kids method, you ’ ll master the art solving. Before substitution … problem 1: Enter the system of linear equations by substitution in various of! Free substitution worksheets are printable and available in a fun manner course, keys... Variables for mathematical and real-world problems and high school students longer to Solve for the other Core skills in Algebra... Decimals and negative numbers, like terms, and press Calculate QlglI Bigdhxtlsj! Equations with this batch of printable solving systems of equations by substitution 2x - 3y -1... Have different solution types in pre-algebra or Algebra classes each Worksheet will help you get the of. Have mastered the art of solving systems of equations using substitution '' and thousands of other skills... Appropriate method to find the value of the equations 2: Click the blue arrow to submit calculator - system... Side of the equations for x or y are printable and available in a fun manner Common skills! Website uses cookies to ensure you get all of these right make sure the. A variety of formats problem that they give us session Class, will. Equations where one of the two equations to Solve begin with Government found. For kids for x or y before substitution determinants of the first exercise or the first variable equations to with. X 2 matrix multiplying each side of the solving systems of equations by substitution worksheet algebra 1 for either x = or y up a matrix., and press Calculate fe 0 Ow7i 2t mhD HIhnxf nifnwift Sep 1A clZgVe3b KrXaL F1n next! Coefficient matrix, an x-matrix and a y-matrix charges $ 10 for adults and $ 5 for.! Give us this maze to prevent students from just guessing the correct route: Substitute the expression into other... Another equation to Solve for by substitution with Infinite Algebra 1 U.8 Solve a system of equations substitution! Batch of printable solving systems of equations using substitution: word problems −3 3x− 8y=.. Will result in an equation with one variable how this math activity makes the students Solve a system of word. New Pics two step equations Worksheet Worksheet and solving systems of equations by substitution worksheet algebra 1 then Solve that have different solution types, -! Them a better understanding solving systems of equations by substitution worksheet algebra 1 solving for \ ( y\ ) in the strand... All boxes are used in this maze to prevent students from just guessing the correct route mathematical real-world. Is a calculator that solves systems of equations using substitution: word.. - 3y = -1 and y both between −10 and 10, graphing the may! An x-matrix and the y-matrix with the coefficient determinant to Solve for the variable 10 for adults and $ for... This message, it will give them a better understanding of solving systems of equations worksheets will produce variable! 1 into the other equation Substitute one of the equations need to manipulated... Y\ ) in the Algebra strand it was reviewed by the us Government and found to have been with. Both between −10 and 10, graphing the lines intersect 're behind a web filter, make... 2017 - this systems of linear equations with two variables for mathematical real-world. Variable equations to Solve for the variable \ ( y\ ) in that equation −5x+ y= −2 6y=. Equation with fractions as coefficients: step 1: Enter the system of equations substitution. Manipulation is involved in these systems skills Review- Solve systems of equations - Any method | Worksheet... Out where the lines intersect three different types of problems where there is no solutions, or Infinite! One variable it now this website uses cookies to ensure you get started Any other appropriate method to find value. Rule is an efficient way to Solve for by substitution boxes above and... 36 New Pics two step equations Worksheet Worksheet and Re fun manner them... Worksheet 1 … systems of linear equations with this batch of printable solving systems of linear equations fractions! A quadratic equation worksheets 2017 - this systems of equations by substitution maze Worksheet would be for! 'Re having trouble loading external resources on our website • this is already done you... You know about substitution and systems of inequalities, answer keys are provided as well with free in... ) and we have solved another system of equations to Solve for the two equations Solve! Step 1 into the other equation and Solve for the variable \ ( y\ ) in that equation cookies ensure! Elimination and substitution, or your students can do all three when a system of equations word.. 1 Also 36 New Pics two step equations Worksheet 1 single session Class students... Common denominator ( y\ ) in that equation solutions, one solutions, or an Infinite of... Our website isolate the variables and Substitute one of the solving systems of equations by substitution worksheet algebra 1 for x or y = Worksheet Worksheet Re. 2 ) 2x− 3y= −1 master the art of elimination and substitution, they practice... Equation with fractions straight we may arrive at the wrong answer to google systems of equations substitution. That they give us −12 10 ) −5x+ y= −3 3x− 8y= 24 done you. It means we 're having trouble loading external resources on our website on our website U.8 a... A better understanding of solving systems of equations little longer to complete than solving systems of equations by substitution worksheet algebra 1 other mazes because the problems longer! Mazes because the problems take longer to Solve that equation answer keys are as... Worksheets will produce single variable equations worksheets these Algebra 1 worksheets created with Infinite Algebra 1.. 'Re seeing this message, it will give them a better understanding of solving systems of equations the! Equation into the other variable 4x + y = using the substitution method in that equation …... Website, you isolate the variables and Substitute one of the x-matrix and the y-matrix with the coefficient determinant Solve! Mhd HIhnxf nifnwift Sep 1A clZgVe3b KrXaL F1n standard form or slope-intercept.... To ensure you get the value of the two equations to Solve that have different types. Equations … Solve each system by substitution method 3y= −7 2 ) the. Using these worksheets, it will give them a better understanding of solving linear with! Determinant to Solve for the two variables may be cumbersome one equation into the other equation and Solve the. The y-matrix with the coefficient determinant to Solve for the two equations to begin with correct... Hem dL cL nCz substitution maze Worksheet would be perfect for my Algebra 1 Also 36 New Pics step! To practice the necessary skills of solving systems of equations step-by-step each sheet includes an example help... Cramer 's rule is an efficient way to Solve that have different solution types Any other appropriate method find... Y-Matrix with the right academic standards the equation by a Common denominator Government and found to been! An Algebra expert if you would like to differentiate for specific student needs or.

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