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1. Algebra 1-2 Name: ________________________
Solve Systems of Linear Equations using Elimination ║Date: ________________________
In 1 - 4, solve the system using elimination. If there is one solution, write it as an ordered pair.
1.
1
2
4
x
y
x
y
2.
10
2
2
2
2
4
y
x
y
x
3.
8
3
2
16
2
4
y
x
y
x
4.
5
4
7
14
5
2
y
x
y
x
2. 5. Which of the following gives a valid reason for using the given solution method to solve the system
of equations shown?
Equation I: 4x – 5y = 4
Equation II: 16x + 3y = 2
A Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.
C Substitution; equation I can be solved for x in one step by dividing both sides by 4.
D Substitution; equation II can be solved for x in one step by subtracting 3y from both sides.
6. Which of the systems of equations below is equivalent to the system?
A 4x + 5y = 3
−4x – 6y = 2
B –12x – 15y = –9
12x + 18y = 6
C 4x + 5y = 3 D 12x + 15y = 9
−4x – 3y = 1 −12x – 18y = 6
7. As a first step in solving the system shown, Yumiko multiplies
both sides of the equation 2x – 3y = 12 by 5. By what factor
should she multiply both sides of the other equation so
she can add the equations and eliminate a variable?
4x + 5y = 3
2x + 3y = 1
5x + 6y = 18
2x – 3y = 12
