\(\left\{{}\begin{matrix}\left(x-1\right)\left(y+1\right)=xy+4\\\left(x+2\right)\left(y-1\right)=xy-10\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}xy+x-y-1=xy+4\\xy-x+2y-2=xy-10\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x-y=5\\-x+2y=-8\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x-y-x+2y=5-8\\x-y=5\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}y=-3\\x=5+y=5-3=2\end{matrix}\right.\)
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