Substitution Method for Systems of Equations
A Grade 12 math worksheet focusing on solving systems of linear equations using the substitution method.
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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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