Question

Bài 1 :Tìm tỉ số \(\frac{x}{y}\)biết \(\frac{2x-y}{x+y}=\frac{2}{3}\)

 

Answer 1

(2x-y)/(x+y)=2/3

nên 3(2x-y)=2(x+y)

      6x-3y=2x+2y

      6x-3y-2x-2y=0

      4x-5y=0

      4x=5y

      x/y=5/4

Answer 2

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

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

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

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

\(\Rightarrow4x=5y\)

Vậy ta có \(\frac{x}{y}=\frac{5}{4}\)