Question

Bài 9: Tìm tỉ số x/y, biết x, y thoả mãn:

Answer 1

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

\(\Rightarrow3\left(2x-y\right)=2\left(x+y\right)\)

\(\Rightarrow6x-3y=2x+2y\)

\(\Rightarrow6x-2x=3y+2y\)

\(\Rightarrow4x=5y\)

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

Vậy \(\dfrac{x}{y}=\dfrac{5}{4}\)

Answer 2

\(\dfrac{2x-y}{x+y}=\dfrac{2}{3}\Rightarrow3.\left(2x-y\right)=2.\left(x+y\right)\)

\(\Rightarrow6x-3y=2x+2y\Rightarrow6x-2x=2y+3y\Rightarrow4x=5y\)

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

Vậy \(\dfrac{x}{y}=\dfrac{5}{4}\)

Chúc bạn hcọ tốt nha!!!