SLE with three unknowns

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Solve the following system

{4x+9y+6z=06x−3y+6z=−5x+y+11z=−2\begin{cases} 4x + 9y + 6z = 0\\ 6x - 3y + 6z = -5\\x + y + 11z = -2 \end{cases}and find x−y+zx - y + z.

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