y=-2x+2, 7x+4y=7

Answer 1

2x+y=2 or 8x+4y=8
7x+4y=7. Subtracting one eq from other, we get x=1. Substituting this in given eq, 2x1+y=2 or y=0.
Check:0=-2x1+2 ok,
7x1+4x0=7 ok.

Answer 2

ideal setup for "substitution"

1st into 2nd:
7x + 4(-2x+2) = 7
7x + 8x + 8= 7

-x = -1
x = 1
plug that back into 1st, all done