SOLUTION: Please help me solve this equation:3/n+2/n-1=2

Algebra ->  Rational-functions -> SOLUTION: Please help me solve this equation:3/n+2/n-1=2      Log On


   

Question 705622: Please help me solve this equation:3/n+2/n-1=2
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2Fn%29%2B2%2F%28n-1%29=2

LCD is n(n-1)
multiply the equation by n(n-1)
we get 3(n-1) +2n = 2n(n-1)
3n-3%2B2n=2n%5E2-2n
re arrange te terms
2n%5E2-7n%2B3=0
2n%5E2-6n-n%2B3=0
2n%28n-3%29-1%28n-3%29=0

(2n-1)(n-3)=0
either 2n-1=0
or n-3 =0
2n-1 =0
2n=1
n=1/2

n-3=0
n=3
n=3 OR 1/2