Multiply the entire bottom eqn by 3 to get -3x + 9y = -15.
Add the two eqns together to cancel the x's and you get 11y = -11
Solve for y to get y = -1
Pick one of the two original eqns and plug y back in:
-x + 3(-1) = -5; simplify:
-x -3 = -5
-x = -2
x = 2
So your answer is (2, -1).