Use method II to simplify the following complex rational expression.

5-13/x-2 divided by 6/x-2-7. I'm not sure if this is the proper set up, but it's suppose to be a division on top and bottom. Please if someone could help

3 answers

I'll take a guess at just what you mean:

5 - 13/(x-2)
----------------------
6/(x-2) - 7

In both the numerator and denominator, put everything over a common denominator

[5(x-2)-13]/(x-2)
-----------------------
[6-7(x-2)]/(x-2)

Since the denominators are the same, they can be eliminated. When dividing by a fraction, you multiply by its reciprocal, so the (x-2) factors will cancel. That leaves you with

(5x-23)/(24-7x)
go to the website wolframalpha (google it) and copy and paste this: [5-(13)/(x-2)] รท [(6)/(x-2)-7]

im assuming that's what you mean by the equation. if that is how your equation looks like then your answer for x should be x = 23/3 ?????

if i got it wrong, try using the website wolframalpha a lot of college students use this website, but you need to know how to type in the equations.
woops, i mean 23/5