SOLUTION: Please solve and explain how to work this problem. {{{4/(m-1) = (m-5)/(m-1) + 1/3)}}} m = ___

Algebra ->  Rational-functions -> SOLUTION: Please solve and explain how to work this problem. {{{4/(m-1) = (m-5)/(m-1) + 1/3)}}} m = ___      Log On


   

Question 861320: Please solve and explain how to work this problem.
4%2F%28m-1%29+=+%28m-5%29%2F%28m-1%29+%2B+1%2F3%29
m = ___
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%28m-1%29+=+%28m-5%29%2F%28m-1%29+%2B+1%2F3%29

4%2F%28m-1%29-%28m-5%29%2F%28m-1%29+=+1%2F3%29

%284-%28m-5%29%29%2F%28m-1%29+=+1%2F3

%28-m%2B9%29%2F%28m-1%29+=+1%2F3

3(-m+9)=1(m-1)
-3m+27=m-1
-3m-m= -28
-4m=-28
m=7