Answer:
x = 1
y = 1
z = 1
Step-by-step explanation:
You could use Cramer's rule, with matrices.
First to find the determinent,
We get 8 + 1 + 27 - 6 - 6 -6. or 18.
Since the determinant is a non-0 number, we know there is an answer to this problem.
Then we can solve for X.
We get 24 + 6 + 54 - 36 - 18 - 12, or 18.
So x = 18/18, or 1.
Next to solve for Y:
We get 24 + 6 + 54 - 18 - 12 - 36, or 18. So y = 18/18 or 1.
Next we can plu in the values we already have for x an y and solve for xz So, 2(1) + 2 + 3z = 6
So Z = 1
Then we finally have all our answers x = 1, y = 1, and z = 1
