Question

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


3a+3b/2a−2b

Answer 1

`(3)/(2)` c

Explanation:

Given

`(3a+3b)/(2a-2b)` ← factor numerator and denominator

=
`(3(a+b))/(2(a-b))`

=
`(3)/(2)` ×
`(a+b)/(a-b)` ← this = c

=
`(3)/(2)` × c =
`(3)/(2)` c