x,y tỉ lệ nghịch với 4, 6\(\Rightarrow\dfrac{x}{\dfrac{1}{4}}=\dfrac{y}{\dfrac{1}{6}}\)
Áp dụng t/c dtsbn ta có:
\(\dfrac{x}{\dfrac{1}{4}}=\dfrac{y}{\dfrac{1}{6}}=\dfrac{2x-5y}{2.\dfrac{1}{4}+5.\dfrac{1}{6}}=\dfrac{20}{\dfrac{4}{3}}=15\)
\(\dfrac{x}{\dfrac{1}{4}}=15\Rightarrow x=60\\ \dfrac{y}{\dfrac{1}{6}}=15\Rightarrow y=90\)