Answer
(4, -1)
Work Step by Step
Rewrite x + 2y = 2 as x = 2 - 2y. Plug into the other equation
2(2 - 2y) + y = 7
4 - 4y + y = 7
-3y = 3
y = -1
Plug y = -1 into x = 2 - 2y. Plug y = -1 into x = 2 - 2y
x = 2 - 2(-1) = 4
Solution is (4, -1)