Question

Cho x,y thỏa mãn \(\dfrac{2x-y}{x+y}=\dfrac{2}{3}\). Tính tỷ số \(\dfrac{x}{y}\)

Answer 1

Ta có: \(\dfrac{2x-y}{x+y}=\dfrac{2}{3}\)

⇒  \(2\left(x+y\right)=3\left(2x-y\right)\)

⇔  \(2x+2y=6x-3y\)

⇔   \(2x-6x=-3y-2y\)

⇔         \(-4x=-5y\)

⇒             \(\dfrac{x}{y}=\dfrac{5}{4}\)

 

Answer 2

Ta có: \(\dfrac{2x-y}{x+y}=\dfrac{2}{3}\)

\(\Leftrightarrow6x-3y=2x+2y\)

\(\Leftrightarrow4x=5y\)

hay \(\dfrac{x}{y}=\dfrac{5}{4}\)