Answer
$$z=5,\:y=0,\:x=-2$$
Work Step by Step
Solving the system of equations using substitution, we find:
$$ \frac{-9+3\cdot \frac{-z+5}{4}+z}{2}-\frac{-z+5}{4}+z=3 \\ z=5 \\ y=\frac{-5+5}{4}=0 \\ x=\frac{-9+3\cdot \:0+5}{2}=-2$$
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