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