Question

If it is known that a+b/a-b=c, find the following: 2a-2b/5a+5b

Answer 1

Answer:

$\frac{2a-2b}{5a+5b} =\frac{2}{5c}$

Step-by-step explanation:

$\frac{a+b}{a-b} =c$

$\Longleftrightarrow \frac{a-b}{a+b} =\frac{1}{c}$

$\Longleftrightarrow \frac{2}{5} \times \frac{a-b}{a+b} =\frac{2}{5} \times \frac{1}{c}$

$\Longleftrightarrow \frac{2\times(a-b)}{5\times(a+b)} = \frac{2\times1}{5\times c}$

$\Longrightarrow \frac{2a-2b}{5a+5b} =\frac{2}{5c}$