Subtract and give the answer in simplest form:

Question

anonymous · Answer

$$3x \over x-5 $$ - $$5 \over 5-x$$

anonymous · Answer

A. 3
B. $$3x-5 \over x-5 $$
C. $$3x+5 \over x-5$$

anonymous · Answer

ok this one is more complicated since the denominators are not the same.  So to make them the same  multiply the first expression by 5-x / 5-x, and the second one by x-5 / x-5.  Then, the denominators of both terms will be the same -- (x-5)*(5-x), and you can then add the numerators together.

anonymous · Answer

That completely just confused me /: It was just like all twisted up when I thought about it. Blaaaaah ):

anonymous · Answer

which part confused you?

anonymous · Answer

How to get the same denominators

anonymous · Answer

here's a way to think about it.  imagine you are trying to add two fractions, e.g.

1/5 + 1/6.   how do you add those?

anonymous · Answer

2/11

anonymous · Answer

no - you can't just add the denominators.  for example, what's 1/2 + 1/2?  it's not 2/4, right?