Question

Answer 1

\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{4}{x-1}+\dfrac{2}{y+1}=14\\\dfrac{5}{x-1}-\dfrac{2}{y+1}=4\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{9}{x-1}=18\\\dfrac{2}{x-1}+\dfrac{1}{y+1}=7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-1=\dfrac{1}{2}\\\dfrac{1}{y+1}=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\y=-\dfrac{2}{3}\end{matrix}\right.\)