Solve the systems in Problems (8-12) by the indicated method. By Gauss-Jordan: (left{begin{array}{l}x+y+z=2 x+2 y-2 z=1

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Solve the systems in Problems \(8-12\) by the indicated method.

By Gauss-Jordan: \(\left\{\begin{array}{l}x+y+z=2 \\ x+2 y-2 z=1 \\ x+y+3 z=4\end{array}ight.\)

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