Solve by elimination: x-2y= -7 ; 4x+2y= 22

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).