SOLUTION: Can you please help me solve this? I keep getting 3x as the answer, but the book tells me that it should be x+y/y. I need to see the steps. Thanks. (5x-y)/(3y)-(2x-4y)/(3y)

Algebra ->  Equations -> SOLUTION: Can you please help me solve this? I keep getting 3x as the answer, but the book tells me that it should be x+y/y. I need to see the steps. Thanks. (5x-y)/(3y)-(2x-4y)/(3y)      Log On


   

Question 110899: Can you please help me solve this? I keep getting 3x as the answer, but the book tells me that it should be x+y/y. I need to see the steps. Thanks.
(5x-y)/(3y)-(2x-4y)/(3y)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285x-y%29%2F%283y%29-%282x-4y%29%2F%283y%29 Start with the given expression


%285x-y-%282x-4y%29%29%2F%283y%29 Since we have a common denominator of 3y, we can combine the numerators


%285x-y-%282x-4y%29%29%2F%283y%29 Distribute the negative


%285x-y-2x%2B4y%29%2F%283y%29 Distribute the negative


%283x%2B3y%29%2F%283y%29 Combine like terms


3%28x%2By%29%2F%283y%29 Factor out a 3


%28x%2By%29%2F%28y%29 Simplify