Question

Find the solution of this system of equations
2x-2y=-20
-2x+4y=14

Answer 1

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)