Apply the elimination method to the 2y terms since they are opposites & therefore can eliminate. Combine the rest of the terms, vertically.
x-2y= -7
4x+2y= 22
5x = 15
Divide both sides by 5.
x=3
Plug the x value to one of the original equations and solve for y.
4x + 2y = 22
4(3) + 2y = 22
12 + 2y = 22
Subtract by 12 on both sides.
2y = 10
Divide by 2 on both sides.
y = 5
Therefore, the solution to the system of equations shown is:
x=3 y=5
or
as an ordered pair (3, 5).