SOLUTION: n-5 1 n-3 ---- = --- - ---- 6n-6 9 4n-4 I tried to my best to type the fractions so I hope this makes sense. Can you help me solve this?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: n-5 1 n-3 ---- = --- - ---- 6n-6 9 4n-4 I tried to my best to type the fractions so I hope this makes sense. Can you help me solve this?      Log On


   

Question 80193: n-5 1 n-3
---- = --- - ----
6n-6 9 4n-4
I tried to my best to type the fractions so I hope this makes sense. Can you help me solve this?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
n-5 1 n-3
---- = --- - ----
6n-6 9 4n-4
:
Assume you mean:
:
%28%28n-5%29%2F%286n-6%29%29 = 1%2F9 - %28%28n-3%29%2F%284n-4%29%29
:
Factor out what you can in the denominator
:
%28%28n-5%29%2F%286%28n-1%29%29%29 = 1%2F9 - %28%28n-3%29%2F%284%28n-1%29%29%29
:
6, 4, 9 are all factors of 36, our common denominator is 36(n-1)
Multiplying each term will get rid of the denominator, we then have:
:
6(n-5) = 4(n-1) - 9(n-3)
:
6n - 30 = (4n - 4) - (9n - 27)
:
6n - 30 = 4n - 4 - 9n + 27
:
6n -30 = -5n + 23
:
6n + 5n = 23 + 30
:
11n = 53
:
n = 53/11
:
n ~ 4.8, I used this to check for equality and it checked out