\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{2}{3}y-\dfrac{5}{3}x+5-\dfrac{1}{4}y-\dfrac{27}{4}+2x=0\\\dfrac{1}{3}x+\dfrac{1}{3}+y-\dfrac{6}{7}y+\dfrac{5}{7}x=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{3}x+\dfrac{1}{28}y=-5\\\dfrac{22}{21}x+\dfrac{1}{7}y=-\dfrac{1}{3}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}28x+3y=-420\\88x+12y=-28\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}112x+12y=-420\\88x+12y=-28\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}24x=-392\\28x+3y=-420\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-\dfrac{49}{3}\\y=\dfrac{112}{9}\end{matrix}\right.\)
