Question

What is the solution for the system of equations

Answer 1

First, it depends how you want to solve the system. The easiest way is to solve by elimination. Eliminate the 2 s. Therefore, 4x = 8. Divide by 4 to find x. After dividing by 4, x=2. To find the y plug in 2 for x in the original equation. Try for the first one. 2 +2y =3. Subtract 2 from both sides of the equation. Then you get 2y =1. Divide by 2 in both sides and you get y = 1/2.

Answer 2

I'd immediately add the two given equations together.  This produces 4x = 8, so that x = 2.  Subbing 2 for x in the first equation results in 2+2y=3, so 2y = 1, and y = 1/2.

Thus, the solution is (2, 1/2).