Systems Of Linear Equations Worksheets With Answer Key Page 17
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40Solving Systems of Linear Equations
5.3
by Elimination
How can you use elimination to solve a
system of linear equations?
1 1
ACTIVITY:
Using Elimination to Solve a System
Work with a partner. Solve each system of linear equations
by using two methods.
Method 1: Subtract.
Subtract Equation 2 from
Equation 1. What is the result?
Explain how you can use the
result to solve the system
of equations.
Method 2: Add.
Add the two equations. What is the
result? Explain how you can use the
result to solve the system of equations.
Is the solution the same using both methods?
a. 2x + y = 4
b. 3x − y = 4
c. x + 2y = 7
2x − y = 0
3x + y = 2
x − 2y = − 5
2 2
ACTIVITY:
Using Elimination to Solve a System
Work with a partner.
2x + y = 2
Equation 1
C
OMMON
x + 5y = 1
C
Equation 2
ORE
Systems of Equations
a. Can you add or subtract the equations to solve the system of linear
In this lesson, you will
equations? Explain.
write and solve systems
●
of linear equations by
b. Explain what property you can apply to Equation 1 in the system so
elimination.
solve real-life problems.
that the y-coeffi cients are the same.
●
Learning Standards
c. Explain what property you can apply to Equation 2 in the system so
8.EE.8b
8.EE.8c
that the x-coeffi cients are the same.
d. You solve the system in part (b). Your partner solves the system in
part (c). Compare your solutions.
e. Use a graphing calculator to check your solution.
216
Chapter 5
Systems of Linear Equations
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