The answer is as follows
x = -3
y = 7
There are a few ways to do this but lets do it the following way.
3x + y = -2
y = -x +4 <--- turn this to standard form
y = -x + 4
x + y = 4
3x + y = -2
x + y = 4 <---- Times this by -3 to cancel out
3x + y = -2
-3(x + y) = 4 * -3
3x + y = -2
-3x -3y = -12
+ y = -2
-3y = -12
-2y = - 14
-2y / -2 = - 14 / -2
y = 7
Now that we found y we can insert 7 into the y position in one of the equation. For instance
y = -x +4
7 = -x + 4
7 = -x + 4
-4 + 7 = -x
3 = -x
x = -3
