\(\left\{{}\begin{matrix}4x-5y=11\\10x+y=2xy+5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=\frac{4x-11}{5}\\10x+\frac{4x-11}{5}=\frac{2x\left(4x-11\right)}{5}+5\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}50x+4x-11=2x\left(4x-11\right)+25\\y=\frac{4x-11}{5}\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}8x^2-76x+36=0\\y=\frac{4x-11}{5}\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(x-9\right)\left(2x-1\right)=0\\y=\frac{4x-11}{5}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x=9\\y=5\end{matrix}\right.\\\left\{{}\begin{matrix}x=\frac{1}{2}\\y=\frac{-9}{5}\end{matrix}\right.\end{matrix}\right.\)
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