\(\Leftrightarrow\left\{{}\begin{matrix}x\left(y+2\right)=\left(x-2\right)\left(y-1\right)+100\\\left(x-4\right)\left(y-3\right)=\left(x-2\right)\left(y-1\right)-64\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}xy+2x=xy-x-2y+102\\xy-3x-4y+12=xy-x-2y-62\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}3x+2y=102\\2x+2y=74\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=28\\y=9\end{matrix}\right.\)
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