Question

Solve

3w - 4z = 8
2w + 3z = -6

A) w = -2
z = -2

B) w = -2
z = 0

C) w = 0
z = 2

D) w = 0
z = -2​

Answer 1

D

Explanation:

Multiplying the first equation by 2 yields 6w - 8z = 16.

Multiplying the second equation by 3 yields 6w + 9z = -18.

Subtracting the two equations gives -17z = 34, and thus z = -2.

Substituting this back into the first equation gives that 3w+8=8, and thus w=0.