College Algebra: I'm reviewing for my Final coming up and I need tons of help. Some of the math problems I'm going through are not making sense. The math problem will be in the comments:

Question

anonymous · Answer

$$\frac{ x }{ x-3 }=\frac{ 3 }{ x-3 }+9$$

anonymous · Answer

@TheSmartOne 
Believe you can help? I keep getting the answer 3, but apparently the answer is no solution...

anonymous · Answer

By the way, if I take a while to respond, it's because this page is not working for me today. If I refresh, it will take 5 minutes or more to actually show everything.

thesmartone · Answer

If it is 3 then it will be undefined so it ahs to be no solution

anonymous · Answer

But I got x=3. How is that undefined? It's a real number

thesmartone · Answer

Ok so you got that. Now plug it in. If the denominator equals to 0 then it means the fraction is undefined and we can't solve it. And thus meaning no solution.

anonymous · Answer

Ohhh, alright. I didn't plug it back in. I checked and you're right. I see why it's undefined. :)

thesmartone · Answer

No problem :)