Answer
(1,2)
Work Step by Step
First, we simplify the two equations:
Equation one:
$\frac{3x-3y-8x + 4y}{12} = -1/4 \\ -5x +y =-3 $
Equation two:
$ \frac{4x + 2y +3x +3y}{6} = \frac{17}{6} \\7x +5y = 17 $
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 -5, and we multiply the bottom equation by 1. Then, we add the two equations to obtain:
$ 25x + 7x = 32 \\ 32x =32 \\ x=1 $
We plug in the given value into the top equation and solve for the other variable:
$ -5(1) +y=-3\\ y=2$
