\(\left\{{}\begin{matrix}\dfrac{2}{5}x-\dfrac{3}{4}y=3\\\dfrac{3}{2}x+\dfrac{1}{2}y=-2\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}\dfrac{2}{5}x-\dfrac{3}{4}y=3\\\dfrac{9}{4}x+\dfrac{3}{4}y=-2\cdot\dfrac{3}{2}=-3\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}\dfrac{2}{5}x-\dfrac{3}{4}y+\dfrac{9}{4}x+\dfrac{3}{4}y=3-3=0\\\dfrac{2}{5}x-\dfrac{3}{4}y=3\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}\dfrac{53}{20}x=0\\\dfrac{3}{4}y=\dfrac{2}{5}x-3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\\dfrac{3}{4}y=\dfrac{2}{5}\cdot0-3=-3\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=0\\y=-3:\dfrac{3}{4}=-4\end{matrix}\right.\)
