# How do you solve the system #x-2y+2z=-2, -x+4y-2z=3, 2x-4y+z=-7#?

##### 1 Answer

Please see the explanation for steps leading to the solution:

#### Explanation:

Write the 3 equations as an augmented matrix:

Add row 1 to row 2:

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

Divide row 3 by -3:

Add row 2 to row 1:

Divide row 2 by 2:

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

The means that

check:

This checks