Question

(x-1) / (x+5) =6 / 7

Answer 1

\(\dfrac{x-1}{x+5}=\dfrac{6}{7}\)

⇔\(7\left(x-1\right)=6\left(x+5\right)\)

⇔\(7x-7=6x+30\)

⇔\(7x-7-6x-30=0\)

⇔\(x-37=0\)

⇔\(x=37\)

Answer 2

\(\dfrac{x-1}{x+5}=\dfrac{6}{7}\left(đk:x\ne-5\right)\)

\(\Rightarrow7\left(x-1\right)=6\left(x+5\right)\)

\(\Rightarrow7x-7=6x+30\)

\(\Rightarrow x=37\left(tm\right)\)

Answer 3

\(\dfrac{x-1}{x+5}=\dfrac{6}{7}\)

\(\Leftrightarrow7x-35=6x-6\)

hay x=29

Answer 4

\(\dfrac{x-1}{x+5}=\dfrac{6}{7}\)

\(\Rightarrow6.\left(x+5\right)=7.\left(x-1\right)\)

\(\Rightarrow6x+30=7x-7\)

\(\Rightarrow30+7=7x-6x\)

\(\Rightarrow x=37\)