a: \(\Leftrightarrow\left\{{}\begin{matrix}3x-2y=6\\-5x+8y=-3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}15x-10y=30\\-15x+24y=-9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}14x=21\\3x-2y=6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\y=-\dfrac{3}{4}\end{matrix}\right.\)
b: \(\Leftrightarrow\left\{{}\begin{matrix}2\sqrt{x}+3\sqrt{y-3}=18\\9\sqrt{x}-3\sqrt{y-3}=15\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\sqrt{x}=3\\\sqrt{y-3}=4\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=9\\y=19\end{matrix}\right.\)