Solve for (x, y, z)

x = 6z + 13 - 4x

- 6y - 4z = 32

6x + y - 7z = - 9

1. x=6z+13/5

2. y = - 2z-16/3

3. z = 6x/7+y/7+9/7

Explanations

1 Add 4x to both sides

5x=6z+13

Divide 5 by both sides

x=6z+13/5

2 Add 4z to both sides

-6y=32+4z

Divide 6 by both sides

-6y/-6 = 32/-6 + 4z/-6

Simplify

y=-2 (z+8) / 3 of y = - 2z-16/3

3. Subtract 6x+y from both sides

-7z=-9-6x-y

Divide 7 by both sides

-7z/-7 = - 9/-7 - 6x/-7 - y/-7

Simplify

z=6x/7+y/7+9/7