Question

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

Answer 1

\(\frac{2x-y}{x+y}=\frac{2}{3}\Rightarrow2\left(x+y\right)=3\left(2x-y\right)\)

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

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

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

Answer 2

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

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

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

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

\(\Rightarrow4x=5y\)

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

Vậy tỉ số \(\frac{x}{y}=\frac{5}{4}\)

Answer 3

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

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

     6 x  - 3 y   = 2 x + 2 y

     6 x - 2 x    = 2 y + 3 y

        4 x         = 5 y

=> \(\frac{x}{y}=\frac{5}{4}\)
 

Answer 4

ta có:

\(\frac{2x-y}{x+y}=\frac{2}{3}\Rightarrow2\left(x+y\right)=3.\left(2x-y\right)\)

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

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

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

~~ học tốt nha ~~

Answer 5

\(\frac{2/3}

Answer 6

Theo bài ra ta có:

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

\(\Rightarrow2\left(x+y\right)=3\left(2x-y\right)\)( nhân chéo cả 2 vế )

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

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

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

# Hok_tốt nha

Answer 7

5/4.ok

Answer 8

\(\frac{2x-y}{x+y}=\frac{2}{3}\Leftrightarrow6x-3y=2x+2y\Leftrightarrow4x=5y\)

Vậy \(\frac{x}{5}=\frac{y}{4}\)

Answer 9

thấy đề chó nóng là đéo ổn r 🤣

Answer 10

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

\(\Leftrightarrow3\left(2x-y\right)=2\left(x+y\right)\)

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

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

\(\Leftrightarrow4x=5y\)

\(\Leftrightarrow\frac{x}{y}=\frac{5}{4}\)