Answer
$x=17; y=-11; z=-3$
Work Step by Step
Plug the value of $z=-3$ into the second equation.
$3y-8(-3)=-9 \implies y=-11$
Now, we will plug the value of $y$ and $z$ into the expression of $x$ to find the value of $x$.
We get:
$x-(-11)+2(-3)=22 \implies x=17$
Thus, $x=17; y=-11; z=-3$