Question

The solution for $\frac{2}{x+3}-\frac{4}{x-3}=\frac{-6}{x+3}$ is:

• A. 9
• B. -1
• C. -3
• D. 3

Answer 1

The correct option is A 9

$\frac{2}{x+3}-\frac{4}{x-3}=\frac{-6}{x+3}$

$\Rightarrow \frac{2}{x+3}+\frac{6}{x+3}=\frac{4}{x-3}$

$\Rightarrow \frac{8}{x+3}=\frac{4}{x-3}$

$\Rightarrow 8\times (x-3)=4\times (x+3)$

$\Rightarrow 8x-24=4x+12$

$\Rightarrow 4x=36$

$\Rightarrow x=\frac{36}{4}=9$