5 2 Solving Systems Of Linear Equations By Substitution Worksheet Solve each system by substitution 1 y 6x 11 2x 3y 7 2 2x 3y 1 y x 1 3 y 3x 5 5x 4y 3 4 3x 3y 3 y 5x 17 5 y 2 4x 3y 18 6 y 5x 7 3x 2y
25 Write a system of equations with the solution 4 3 Many answers Ex x y 1 2x y 5 2 Create your own worksheets like this one with Infinite Algebra 2 Free trial available at Solve each system of linear equations by using two methods Method 1 Solve for x fi rst Solve for x in one of the equations Use the expression for x to fi nd the solution of the system
5 2 Solving Systems Of Linear Equations By Substitution Worksheet
5 2 Solving Systems Of Linear Equations By Substitution Worksheet
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In this section we will solve systems of linear equations by the substitution method Solve a System of Equations by Substitution We will use the same system we used first for graphing In this lesson you will learn one algebraic method for solving systems of equations called the substitution method Example 1 Note that the second equation in this system of equations is
Solve each system by substitution 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 DIRECTIONS Solve each system of linear equations using the SUBSTITUTION METHOD Check every answer Show all work 1 2x 5y 9 2 3x 4y 1 3x y 7 x 2y 1 3 x
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Solving a System of Linear Equations by Substitution Step 1 Solve one of the equations for one of the variables Step 2 Substitute the expression from Step 1 into the other equation and Solve each pair of equations by substitution 6 6x 9 5x y 21 2y 2x 3 3x 19 8 6x y 28 3 3 5x 20 5y Name Date MATH MONKS Score Solving Systems of Linear
Solving Systems of Equations by Substitution 1 y x 1 x 2y 7 3 5x 2y 14 y 3x 4 5 6x 6y 6 y 4 2 y 5x 3 4x y 2 4 y 2x 6 2x 5y 14 6 x 2y 4 6x Substitute the value of x into equation 1 and solve for y Substitution is ideal to use if one of the variables can be easily isolated ie coefficient of 1
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5 2 Solving Systems Of Linear Equations By Substitution Worksheet - 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 2