Question

Algebra manipulation. Thank you! My answer is - 8/5 but I want to make sure :)

Answer 1

Start with

`(2a+3b)/(a+b)=7`

Assuming
`a\\eq -b`, multiply both sides by
`a+b`

`2a+3b = 7a+7b`

Solve for
`a`

`5a = -4b \iff a = -(4b)/(5)`

Substitute this value for
`a` in the desired expression:

`(2a)/(b) = ((-8b)/(5))/(b) = -(8)/(5)`

You were correct! :)