Question

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

Answer 1

`(2a-2b)/(5a+5b) =(2)/(5c)`

Explanation:

`(a+b)/(a-b) =c`

`\Longleftrightarrow (a-b)/(a+b) =(1)/(c)`

`\Longleftrightarrow (2)/(5) * (a-b)/(a+b) =(2)/(5) * (1)/(c)`

`\Longleftrightarrow (2*(a-b))/(5*(a+b)) = (2*1)/(5* c)`

`\Longrightarrow (2a-2b)/(5a+5b) =(2)/(5c)`