\(3x=5y\Leftrightarrow\dfrac{x}{5}=\dfrac{y}{3};2y=-3z\Leftrightarrow\dfrac{y}{-3}=\dfrac{z}{2}\\ \Leftrightarrow\dfrac{x}{-5}=\dfrac{y}{-3}=\dfrac{z}{2}\)
Áp dụng t/c dtsbn:
\(\dfrac{x}{-5}=\dfrac{y}{-3}=\dfrac{z}{2}=\dfrac{x+y-z}{-5-3-2}=\dfrac{2}{-10}=-\dfrac{1}{5}\\ \Leftrightarrow\left\{{}\begin{matrix}x=1\\y=\dfrac{3}{5}\\z=-\dfrac{2}{5}\end{matrix}\right.\)
