\(\dfrac{x}{y}=\dfrac{2}{5}\Rightarrow\dfrac{x}{2}=\dfrac{y}{5}\)
Áp dụng t/c dtsbn:
\(\dfrac{x}{2}=\dfrac{y}{5}=\dfrac{2x}{4}=\dfrac{3y}{15}=\dfrac{2x-3y}{4-15}=\dfrac{44}{-11}=-4\)
\(\Rightarrow\left\{{}\begin{matrix}x=\left(-4\right).2=-8\\y=\left(-4\right).5=-20\end{matrix}\right.\)
\(\dfrac{x}{y}=\dfrac{2}{5}\Rightarrow\dfrac{x}{2}=\dfrac{y}{5}\)
Áp dụng TCDTSBN ta có:
\(\dfrac{x}{2}=\dfrac{y}{5}=\dfrac{2x-3y}{4-15}=\dfrac{44}{-11}=-4\)
\(\dfrac{x}{2}=-4\Rightarrow x=-8\\ \dfrac{y}{5}=-4\Rightarrow y=-20\)