Solve using elimination method. If the system has no system or infinite number of solutions, state this. Please show all work. I need to show how I came about my answer. I need this as soon as possible please. I would appreciate any and all help!!

2x+2y=20

2x-2y=4

3 answers

add the equations, and get...

4x=20 or x=5, then figure y
2x+2y=20
2x-2y=4
_________
4y= 16

y=16
2x+2(40)=20
2x+8=20
2x=12
x=6
(x,y)= (6,4)

Is this correct???
how would one know whether the answer is correct?

Plug your values for x and y into both equations and see whether the equations hold.

In this case, your answer is correct.