Question

Which system of equations has infinitely many solutions?

A
4x+2y=8

4x−2y=8

B
4x−2y=8

−4x+2y=−8
C
4x+2y=8

4x+2y=10

D
4x+2y=8

−4x−2y=−10

Answer 1

Answer: B.

`4x - 2y = 8\\-4x + 2y = -8`

Explanation:

Let's solve your system by elimination.

4x−2y=8;−2x+2y=6

Add these equations to eliminate y:

4x-2y=8

-2x+2y=6

2x=14

Substitute 7 for x in 4x−2y=8:

(4)(7)−2y=8

−2y+28=8 (Simplify both sides of the equation)

−2y+28+−28=8+−28 (Add -28 to both sides)

−2y=−20

−2y/−2=−20/−2 (Divide both sides by -2)

y=10