Determine the values of $mathrm{x}, mathrm{y}$, and $mathrm{z}$ for the following set of linear algebraic equations: [begin{aligned}2

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Determine the values of $\mathrm{x}, \mathrm{y}$, and $\mathrm{z}$ for the following set of linear algebraic equations:

\[\begin{aligned}2 x+y-3 z & =11 \\4 x-2 y+3 z & =8 \\-2 x+2 y-z & =-6\end{aligned}\]

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