# How do you solve the system #x-6y+4z=-12#, #x+y-4z=12#, and #2x+2y+5z=-15#?

##### 1 Answer

Please see the explanation for steps leading to the answer:

#### Explanation:

Write the 3 equations as an augmented matrix:

Subtract row 1 from row 2:

Multiply row 1 by -2 and add to row 3:

Multiply row 2 by -2 and add to row 3:

Divide row 3 by 13:

Multiply row 3 by 8 and add to row 2:

Multiply row 3 by -4 and add to row 1:

Divide row 2 by 7:

Multiply row 2 by 6 and add to row 1: