#### Answer

{(-5,5)}

#### Work Step by Step

x+2y=5
x+2y-2y=5-2y
x=5-2y
Plug this value for x into the other equation.
2x-y=-15
2(5-2y)-y=-15
2(5)-2(2y-y)=-15
10-5y=-15
-5y=-15-10
-5y=-25
y=$\frac{-25}{-5}$
y=5
Plug this back into the first equation to find x.
x=5-2y
x=5-2(5)
x=5-10
x=-5
Therefore the solution is {(-5,5)}