Question

Solve the linear equation:

$\frac{1}{x+1}=\frac{2}{x+10}$

• A. $4$
• B. $6$
• C. $8$
• D. $10$

Answer 1

The correct option is C $8$

We have, $\frac{1}{x+1}=\frac{2}{x+10}$

$\Rightarrow x+10=2(x+1)$ .....[By cross-multiplication]

$\Rightarrow x+10=2x+2$

$\Rightarrow x-2x=2-10$ .....[Transposing $2x$ to LHS and $10$ to RHS]

$\Rightarrow -x=-8$

$\Rightarrow x=8$