Answer
$$x=0,\:z=0,\:y=1$$
Work Step by Step
Solving the equations using matrices, we find:
$$ \begin{bmatrix}3&3&0&¦&0\\ 2&0&2&¦&2\\ 0&3&3&¦&3\end{bmatrix}\\ \begin{bmatrix}1&0&0&¦&0\\ 0&1&0&¦&0\\ 0&0&1&¦&1\end{bmatrix}\\ x=0,\:z=0,\:y=1$$
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