Solve the systems in Problems (40-57) by the Gauss-Jordan method. (left{begin{array}{l}x-y=1 x+z=1 y-z=1end{array}ight.)

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Solve the systems in Problems \(40-57\) by the Gauss-Jordan method.

\(\left\{\begin{array}{l}x-y=1 \\ x+z=1 \\ y-z=1\end{array}ight.\)

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