Question

Tìm x:

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

Answer 1

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

\(\Rightarrow\left(3x+2\right)\left(5x+1\right)=\left(3x-1\right)\left(5x+7\right)\)

\(\Rightarrow15x^2+10x+3x+2=15x^2-5x+21x-7\)

\(3x=9\)

\(x=3\)

Answer 2

Ta có:  (3x+2)(5x+1)=(5x+7)(3x-1)   (ĐKXĐ: x khác  -7/5, x khác -1/5)

=> 15x²+13x+2=15x²+16x-7

=> 3x-9=0  =>x=3 (chọn)