\(\left\{{}\begin{matrix}x+y=5\\3x-2y=10\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}2x+2y=10\\3x-2y=10\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}5x=20\\x+y=5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{20}{5}=4\\4+y=5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=4\\y=5-4=1\end{matrix}\right.\)
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