Answer:
x = 2, y = -1
Step-by-step explanation:
We have a solution system, x = -6y - 4 and 6x - 12y = 24.
Now, since are not only asked to use the substitution method, but at the same time know the value of x, let's plug the first system into the second.
x = -6y - 4
6(-6y - 4) - 12y = 24
-36y - 24 - 12y = 24
-48y - 24 = 24
Add 24 to both sides :
-48y = 48
Divide -48 by both sides :
y = -1
Now that we have y, we can replace it into the second system again to get x.
6x - 12(-1) = 24
6x + 12 = 24
Solve for x by first getting rid of 12 from both sides :
6x = 12
Divide 6 by both sides :
x = 2
Therefore, x = 2 and y = -1
