\(\left\{{}\begin{matrix}1,3x+4,2y=12\\0,5x+2,5y=5,5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{13}{10}x+\dfrac{21}{5}y=12\\\dfrac{1}{2}x+\dfrac{5}{2}y=\dfrac{11}{2}\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}13x+42y=120\\x+5y=11\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}13x+42y=120\\13x+65y=143\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}23y=23\\x=11-5y\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=1\\x=6\end{matrix}\right.\)
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