Question

Find an equivalent system of equations for the following system:

x + 2y = 2
−4x + 4y = −8

A) x + 2y = 2
−4x − 2y = 10

B)x + 2y = 2
5x + 4y = 8

C)x + 2y = 2
5x − 2y = 10

D)x + 2y = 2
5x − 2y = −8

Answer 1

option C

Explanation:

Answer 2

Option C

Explanation:

we have

x+2y=2 ------> equation A

-4x+4y=-8 ------> equation B

Multiply equation B by -1 both sides

-1(-4x+4y)=-8*(-1)

4x-4y=8 -----> equation C

Adds equation A and equation C

x+2y=2

4x-4y=8

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5x-2y=10 ----> equation D

An equivalent system of equations is equation A and equation D

so

x+2y=2 ------> equation A

5x-2y=10 ----> equation D