Solve the system of equations. What is x and y



-2x+15y=-24

2x+9y=24

-2x+15y=-24

2x+9y=24

Add the two equations together.

-2x + 2x = 0

15y + 9y = 24y

-24+24 = 0

The two equations when added become:

24y = 0

Solve for y:

divide both sides by 24:

y = 0/24 = 0

The value of Y is 0

Now replace Y in one of the equations and solve for x:

2x+9 (0) = 24

2x + 0 = 24

2x = 24

Divide both sides by 2:

x = 24/2

x = 12.

The value of x is 12

The solution is (12,0)