x=\(\dfrac{16}{7}\) y=\(\dfrac{-3}{7}\)
\(\left\{{}\begin{matrix}2x-y=5\\x+3y=1\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-y=5\\-2x-6y=-2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}-7y=3\\x+3y=1\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=1+\dfrac{\left(-3\right).\left(-3\right)}{7}\\y=-\dfrac{3}{7}\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{16}{7}\\y=-\dfrac{3}{7}\end{matrix}\right.\)