\(\left\{{}\begin{matrix}2x-7y=0,5\\3x+y=1\end{matrix}\right.\)
\(\Leftrightarrow\) \(\left\{{}\begin{matrix}2x-7y=0,5\\21x+7y=7\end{matrix}\right.\)
\(\Leftrightarrow\) \(\left\{{}\begin{matrix}23x=7,5\\3x+y=1\end{matrix}\right.\)
\(\Leftrightarrow\) \(\left\{{}\begin{matrix}x=\dfrac{15}{46}\\y=1-3x\end{matrix}\right.\)
\(\Leftrightarrow\) \(\left\{{}\begin{matrix}x=\dfrac{15}{46}\\y=1-3\cdot\dfrac{15}{46}\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{15}{46}\\y=\dfrac{1}{46}\end{matrix}\right.\)