How do you solve this system of equation: 6x + z = - 7 and - 4x + 2z = - 6?

1 Answer
Apr 4, 2018

(x,z) = (-1/2,-4)

Explanation:

z=-7-6x solve for z in terms of x in the first equation
-4x+2(-7-6x)=-6 plug into the other equation
-4x-14-12x=-6 distribute
-14-16x=-6 combine
-16x=8
x=-1/2

Now, going back to the other equation
6(-1/2)+z=-7
-3+z=-7
z=-4