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

Option C

Step-by-step 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

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

C

Step-by-step explanation:

i took the test