Question

Solve the following system of equations.

4x – 3y + z = –9
x + 2y + 2z = 5
x – 2y + 3z = –2

Answer 1

Can you take one of the equations and solve for one of the variables?

Take the third equation and solve it for x. Then I'll help you with the next step.

Answer 2

@Aylin So the third equation is x = 2y - 3z - 2. I plugged it into the first equation, simplified, and got 5y - 11z = -1. What now?

Answer 3

Solve that for either z or y now, then plug it into the second equation and simplify.

Answer 4

So y = (11/5)z - (1/5)?

Answer 5

Yes.

Answer 6

So the answer should be (-1, 2, 1)

Answer 7

Yep!

Answer 8

Thanks!