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

asked Aug 15, 2023 58.8k views

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Answer:

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

Explanation:

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

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

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

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

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

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