\(\left\{{}\begin{matrix}x+y=z\\xz+y=1\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}x+y=z\\xz-z=1-z\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}y=z-x\\x\left(z-1\right)=1-z\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}y=1-z\\x=-1\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}y=2\\x=-1\\z=x+y=1\end{matrix}\right.\)
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