What is the solution of the system?

Use the substitution method.

3x+2y=11

x-2=-4y

I recently took this test, and I can confirm that the answer is "The only solution is (4, - 1/2)

The answer is y = - 0.5 and x = - 1

step by step down below

first use the bottom equation to solve for x ... you could also solve for y but I used x. the will give you x = - 4y + 2

the substitute x into the first equation and solve