\(\left\{{}\begin{matrix}\dfrac{x}{3}-\dfrac{y}{2}=7\\\dfrac{2x}{y}=\dfrac{6}{4}\left(y\ne0\right)\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}6\cdot\left(\dfrac{x}{3}-\dfrac{y}{2}\right)=6\cdot7\\y\cdot\dfrac{2x}{y}=\dfrac{3}{2}\cdot y\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-3y=42\\2x=\dfrac{3}{2}y\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{3}{2}y-3y=42\\x=\dfrac{3}{4}y\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}-\dfrac{3}{2}y=42\\x=\dfrac{3}{4}y\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=-7\\x=\dfrac{3}{4}\cdot-7\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=-7\left(tm\right)\\x=-\dfrac{21}{4}\end{matrix}\right.\)
