Question

[Nguyễn Dũng]

Giúp mik vs 
1. \(\frac{x+1}{x+5}=\frac{x+3}{x+2}\)

2.\(\frac{x-4}{x-7}=\frac{x-2}{x-1}\)

Tìm x nha 

Answer 1

[Lê Tài Bảo Châu]

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

\(\Leftrightarrow\left(x+1\right)\left(x+2\right)=\left(x+3\right)\left(x+5\right)\)

\(\Leftrightarrow\left(x+1\right)x+\left(x+1\right).2=\left(x+3\right)x+\left(x+3\right).5\)

\(\Leftrightarrow x^2+x+2x+2=x^2+3x+5x+15\)

\(\Leftrightarrow x^2+3x+2=x^2+8x+15\)

\(\Leftrightarrow x^2+3x-x^2-8x=15-2\)

\(\Leftrightarrow-5x=13\)

\(\Leftrightarrow x=\frac{-13}{5}\)

Vậy ...

Answer 2

[Nguyễn Dũng]

Cảm ơn bn nha