# How do you solve 2x+9y=-2, x+2y+3z=0, and -y+z=1 using matrices?

Jan 27, 2017

I found:
$x = 17$
$y = - 4$
$z = - 3$

#### Explanation:

I used a matrix method normally called Cramer´s Method:

To find $z$ we can simply use the third equation with the value of $y$ found in step 2:
$- \left(- 4\right) + z = 1$
$z = - 3$

Hope it helps!