\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{3}x+\dfrac{1}{3}-\dfrac{1}{4}y-\dfrac{1}{2}-\dfrac{2}{5}x+\dfrac{2}{5}y=0\\\dfrac{1}{4}x-\dfrac{3}{4}-\dfrac{1}{3}y+1-2y+x=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}-\dfrac{1}{15}x+\dfrac{3}{20}y=\dfrac{1}{6}\\\dfrac{5}{4}x-\dfrac{7}{3}y=-\dfrac{1}{4}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}-4x+3y=10\\15x-28y=-3\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}-60x+45y=150\\60x-112y=-12\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=\dfrac{138}{67}\\x=\dfrac{1221}{335}\end{matrix}\right.\)