\(a,\Leftrightarrow\left\{{}\begin{matrix}5x+3y=1\\5x-10y=40\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-2y=8\\13y=41\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-2y=8\\13y=-39\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=-3\end{matrix}\right.\\ b,\Leftrightarrow\left\{{}\begin{matrix}10x+6y=32\\10x+25y=125\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x+5y=25\\19y=93\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{5}{19}\\y=\dfrac{93}{19}\end{matrix}\right.\)
\(c,\Leftrightarrow\left\{{}\begin{matrix}2x+3y=5\\4x+6y=10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x+3y=5\\2x+3y=5\end{matrix}\right.\Leftrightarrow x,y\in R\\ d,\Leftrightarrow\left\{{}\begin{matrix}4x-9y=9\\22x+6y=30\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}4x-9y=9\\33x+9y=45\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}37x=54\\4y-9y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{54}{37}\\y=-\dfrac{13}{37}\end{matrix}\right.\)