Có: \(3x=4y\Leftrightarrow\frac{x}{4}=\frac{y}{3}\)
Đặt \(\frac{x}{4}=\frac{y}{3}=k\Rightarrow\left\{{}\begin{matrix}x=4k\\y=3k\end{matrix}\right.\)
Thay \(x=4k,y=3k\) vào \(x.y=108\), có:
\(4k.3k=108\\ \Leftrightarrow k\in\left\{3;-3\right\}\)
+Khi \(k=3\Rightarrow\left\{{}\begin{matrix}x=3.4=12\\y=3.3=9\end{matrix}\right.\)
+Khi \(k=-3\Rightarrow\left\{{}\begin{matrix}x=-3.4=-12\\y=-3.3=-9\end{matrix}\right.\)
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