8. Solve the system using elimination.

Question

x + 2y = 1
4x + y = 11

So I added both equations and got 5x + 3y = 12 but am unsure of where to go next with it.
I am having the same problem on another question just a bit different than this in which it just asks to solve for x.

Answer 1

you haven't eliminated anything. Adding the equations does no good unless x or y disappears. Try writing them as

x + 2y = 1
8x + 2y = 22

Now if you subtract them, y is eliminated...