Answer
(12,-2)
Work Step by Step
x+7y=-2
x=-7y-2
Substitute the equivalent of x into the other given equation.
3x+y=34
3(-7y-2)+y=34
-21y-6+y=34
-20y=34+6
-20y=40
y=-2
Now that we have the answer for the y-value, plug it back into one of the original equations to find the answer for the x-value.
x=-7y-2
x=-7(-2)-2
x=14-2
x=12
Therefore the answer is (12,-2).