Find the solution of this system of equations

2x-2y=-20

-2x+4y=14

Solve the top equation for x

2x-2y=20

Divide everything by 2

x-y=-10

Get x by itself

x=-10+y

Then plug x into the other equation

-2 (-10+y) + 4 (-10+y) = 14

Solve new equation and you get y=-3

Plug y back into either equation

-2x+4 (-3) = 14

Solve and you get x=-13

So your answer will be

(x, y) = (-13,-3)