Question

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

Answer 1

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:
`-(-4)+z=1`
`z=-3`

Hope it helps!