Substitution Method for Systems of Equations

A Grade 12 math worksheet focusing on solving systems of linear equations using the substitution method.

Grade 12 Math AlgebraSystems of EquationsSubstitution Method

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksLong Answer

Standards

CCSS.MATH.CONTENT.HSA.REI.C.6

Topics

AlgebraSystems of EquationsSubstitution MethodGrade 12

7 sections · Free to use · Printable

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Substitution Method for Systems of Equations

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Solve each system of equations using the substitution method. Show all your work clearly.

1. Solve the following system of equations:

y = 2x + 1 3x + y = 11

2. Solve the following system of equations:

x = 4y - 5 2x - 3y = 1

3. Solve the following system of equations:

2x + y = 7 3x - 2y = 0

4. Solve the following system of equations:

5x - y = 10 x + 3y = -6

5. Which of the following is the solution to the system: x + y = 6 2x - y = 3

(3, 3)

(4, 2)

(5, 1)

(2, 4)

6. When using the substitution method, the first step is to solve one of the equations for one of the .

7. After substituting, you will have a single equation with only one .

8. The sum of two numbers is 25. Their difference is 7. Find the two numbers using the substitution method.

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