\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{-7x}{x-6}+\dfrac{4}{y+10}=3\\\dfrac{-x}{x-6}+\dfrac{3y}{y+10}=-11\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{-7x+42-42}{x-6}+\dfrac{4}{y+10}=3\\\dfrac{-x+6-6}{x-6}+\dfrac{3y+30-30}{y+10}=-11\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{42}{x-6}-\dfrac{4}{y+10}=-10\\\dfrac{-6}{x-6}+\dfrac{-30}{y+10}=-10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{42}{x-6}-\dfrac{4}{y+10}=-10\\\dfrac{-42}{x-6}+\dfrac{-210}{y+10}=-70\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{-214}{y+10}=-80\\\dfrac{-6}{x-6}+\dfrac{-30}{y+10}=-10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=\dfrac{-293}{40}\\x=\dfrac{69}{65}\end{matrix}\right.\)
