Which of the following is a solution to the system

2x-2y=8 3x+2y=22

We can eliminate y terms by adding the equations

2x-2y=8

3x+2y=22 +

5x+0y=30

5x=30

divide both sides by 5

x=6

sub back

2x-2y=8

2 (6) - 2y=8

12-2y=8

minus 12 both sides

-2y=-4

divide both sides by - 2

y=2

x=6

y=2

the solution in (x, y) form is (6,2)

X=6 and Y=2. These complete both equations.