First, we're going to get one
of the equations in terms of one of the variables
-2x+2y=-14 ---> 2y=-14+2x ---> y=-7+x
we can now plug that in as our y value in our
other equation
5x+2(-7+x)=7
now we will solve that equation for our x value
5x+2(-7-x)=7 ---> 5x-14+2x=7 ---> 7x-14=7
---> 7x=21 ---> x=3
we can now plug this numeric value back into the
equation in order to solve for our y variable
5(3)+2y=7 ---> 15+2y=7 ---> 2y=-8 --->
y=-4
