Answer
$(5,-5)$
Work Step by Step
First, we simplify the two equations:
Equation one:
$ \frac{15x +5y + 2x -4y}{10} = 8 \\ 17x +y = 80$
Equation two:
$ \frac{ 2x-2y-x-y}{6} = \frac{10}{3} \\ x -3y = 20 $
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 -1. Then, we add the two equations to obtain:
$ -51x -x =-260 \\ x =5 $
We plug in the given value into the top equation and solve for the other variable:
$ 17(5) + y = 80 \\y =-5$
