Question

How do you combine `(3x)/(x+5) + (5x)/(2x-3)`?

Answer 1

Convert the two terms to a common denominator
`(3x)/(x+5) + (5x)/(2x-3)`

`= (3x)/(x+5)* (2x-3)/(2x-3) + (5x)/(2x-3)*(x+5)/(x+5)`

`= (6x^2 -9x + 5x^2 +25x)/(2x^2+7x-15)`

`= (11x^2+16x)/(2x^2+7x-15)`