Answer
$( 4, -10)$
Work Step by Step
First, we simplify the two equations:
Equation one:
$ 2x -2 -3y -6 =30 \\ 2x -3y =38$
Equation two:
$ 3x +6 +2y -2 = -4 \\ 3x +2y = -8$
In order to solve this problem, we multiply one or both of the equations by a value that will make one of the variables cancel. We multiply the top equation by 3, and we multiply the bottom equation by -2. Then, we add the two equations to obtain:
$ -9y -4y = 130 \\-13y = 130 \\ y =-10$
We plug in the given value into the top equation and solve for the other variable:
$ 2x - 3(-10) = 38 \\ 2x = 8 \\ x =4$
