What is the simplified form of (x+7)/(x+3) + (x-4)/(3)?

Question

anonymous · Answer

So it basically looks like this $$\frac{ (x+7) }{ (x+3) } + \frac{ (x-4) }{ 3 }$$

anonymous · Answer

I'm just confused what I need to multiply the denoms by? Like do I multiply the first equation by 3 and the second one by (x+3)?

camzzzie · Answer

just go on wolframalpha and search the problem

anonymous · Answer

uhh sorry, I wanna know how to actually solve it.

bibby · Answer

we want to get them into a common denominator like so:
$\large \dfrac{ (x+7) }{ (x+3) } + \dfrac{ (x-4) }{ 3 }=\dfrac{?}{(3)(x+3)}$

we can do this by multiplying the left term by 3 and the right term by (x+3)

$\large \dfrac{ (x+7) }{ (x+3) } + \dfrac{ (x-4) }{ 3 }=\dfrac{(3)(x+7)+(x+3)(x-4)}{(3)(x+3)}$

anonymous · Answer

ok makes sense. is it ok if I evaluate and you tell me if I'm right?

bibby · Answer

we then expand: |dw:1448672487737:dw|