Substitution Method Worksheet
Practice solving systems of linear equations using the substitution method for Grade 10 math students.
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Standards
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Substitution Method Practice
Name:
Date:
Score:
Solve each system of equations using the substitution method. Show all your work. Check your solutions.
1. Solve the following system of equations:
y = x + 3
2x + y = 9
2. Solve the following system of equations:
x = 2y - 1
3x - 2y = 5
3. When using the substitution method, the first step is often to isolate one in one of the equations.
4. After substituting, you will have a single equation with only one to solve.
5. Which of the following systems is easiest to solve using substitution?
2x + 3y = 7 4x - y = 1
x = 5y + 2 3x + 2y = 10
5x - 2y = 8 -5x + 7y = 3
x + y = 6 x - y = 2
6. The substitution method always works, even if no variable is initially isolated.
True
False
7. Solve the system: 2x + y = 10 and 3x - 2y = 1
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