4(3x-y) = 3(x+y)

12x -4y = 3x+3y

9x = 7y

x/y = 7/9

bài 1

\(\frac{3x-y}{x+y}=\frac{3}{4}\)

\(\Rightarrow\left(3x-y\right).4=\left(x+y\right)3\)

\(\Rightarrow12x-4y=3x+3y\)

\(\Rightarrow9x=7y\)

\(\Rightarrow\frac{x}{y}=\frac{7}{9}\)

Vậy \(\frac{x}{y}=\frac{7}{9}\)

bài 2

\(\frac{3x+2}{5x+7}=\frac{3x-1}{5x+4}\)

\(\Rightarrow\) \(\left(3x+1\right)\left(5x+4\right)=\left(3x-1\right)\left(5x+7\right)\)

\(\Rightarrow15x^2+12x+10x+8=15x^2+21x-5x-7\)

\(\Rightarrow22x+8=16x-7\)

\(\Rightarrow22x+16x=-7-8\)

\(\Rightarrow6x=-15\)

\(\Rightarrow x=-2,5\)

Vậy x=-2,5

đặt t=x/y

\(\frac{3}{4}=\frac{3t-1}{t+1}\Leftrightarrow3\left(t+1\right)=4\left(3t-1\right)\Rightarrow9t=4\Rightarrow t=\frac{4}{9}=\frac{x}{y}\)

Ta có: \(\frac{3x-y}{x+y}\)=\(\frac{3}{4}\)

\(\Leftrightarrow\)4(3x-y)=3(x+y)

\(\Leftrightarrow\)12x-4y=3x+3y

\(\Leftrightarrow\)12x-3x=4x+3y

\(\Leftrightarrow\)9x=7y

\(\Leftrightarrow\)\(\frac{x}{y}\)=\(\frac{7}{9}\)

\(\frac{3x-y}{x+y}=\frac{3}{4}\Leftrightarrow\frac{3x-y}{x+y}+1=\frac{3}{4}+1\Leftrightarrow\frac{4x}{x+y}=\frac{7}{4}.\) Ở vế trái chia cả tử và mẫu cho y , được:

\(\frac{4.\frac{x}{y}}{\frac{x}{y}+1}=\frac{7}{4}\)  Suy ra :  \(16.\frac{x}{y}=7\left(\frac{x}{y}+1\right)\) Vậy \(9.\frac{x}{y}=7\Leftrightarrow\frac{x}{y}=\frac{7}{9}\)

Ta có: \(\frac{3x-y}{x+y}=\frac{3}{4}\)

      \(\Rightarrow\frac{3x+3y-4y}{x+y}=\frac{3}{4}\)

      \(\Rightarrow3-\frac{4y}{x+y}=\frac{3}{4}\)

      \(\Rightarrow\frac{4y}{x+y}=3-\frac{3}{4}=\frac{9}{4}\)

       \(\Rightarrow4.4y=9.\left(x+y\right)\)

       \(\Rightarrow16y=9y+9x\)

       \(\Rightarrow9x=16y-9y=7y\)

       \(\Rightarrow\frac{x}{y}=\frac{7}{9}\)

Vậy tỉ số \(\frac{x}{y}=\frac{7}{9}\)

này thì mk chịu

\(\frac{3x-y}{x+y}=\frac{3}{4}\Rightarrow\left(3x-y\right)4=3\left(x+y\right)\)

=>12x-4y=3x+3y

=>12x-4y=3x+3y

=>12x-3x=3y+4y

=>9x=7y

=>x/y=7/9

vậy x/y=7/9

\(\frac{3x-y}{x+y}=\frac{3}{4}\)

\(\Rightarrow\left(3x-y\right).4=\left(x+y\right).3\)

\(\Rightarrow12x-4y=3x+3y\)

\(\Rightarrow12x-3x=3y+4y\)

\(\Rightarrow9x=7y\)

\(\Rightarrow\frac{x}{y}=\frac{7}{9}.\)

Vậy \(\frac{x}{y}=\frac{7}{9}.\)

Chúc bạn học tốt!

=> 2(3x - y) = x + y     (ở đây nhân chéo)

=> 6x - 2y = x + y

=> 5x = 3y          (ở đây áp dụng qt chuyển vế )

=> x/y =3/5 

Chuẩn luôn bạn ạ, k nhoa mn