# How do you solve the system x +4y - 6z = 4, 4x - 3y + 2z = 26, x - 2y +2z = 8?

##### 1 Answer

Please see the explanation for step leading to the solution:

#### Explanation:

Write the 3 equations as an augmented matrix:

Multiply row 1 by -4 and add to row 2:

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

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

Multiply row 2 by -1:

Multiply row 2 by 6 and add to row 3:

Divide row 3 by -4:

Multiply row 3 by 2 and add to row 2:

Multiply row 3 by 6 and add to row 1:

Multiply row 2 by -4 and add to row 1:

This means that

You should check my answer by substution into the orignal equations.