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Use the Gauss-Jordan Method to Solve the System of Equations xy+2z+w=5y+z=1zw=4\begin{array} { l } x - y + 2 z + w = 5 \\y + z = 1 \\z - w = 4\end{array}

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Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last
variable be the arbitrary variable.
- xy+2z+w=5y+z=1zw=4\begin{array} { l } x - y + 2 z + w = 5 \\y + z = 1 \\z - w = 4\end{array}


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