\(\left\{{}\begin{matrix}2x-y=3\\x^2+y=5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}y=2x-3\\x^2+2x-3=5\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=2x-3\\\left(x+1\right)^2=9\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=2x-3\\\left[{}\begin{matrix}x+1=3\\x+1=-3\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\Rightarrow y=1\\x=-4\Rightarrow y=-11\end{matrix}\right.\)