SOLUTION: Not sure what I am doing wrong with the following equation: 3y+7/y^2-5y+6. Subtract 3/y-3 Please walk step by step so I can see what step I keep going wrong on. I know my LCD i

Algebra ->  Test -> SOLUTION: Not sure what I am doing wrong with the following equation: 3y+7/y^2-5y+6. Subtract 3/y-3 Please walk step by step so I can see what step I keep going wrong on. I know my LCD i      Log On


   



Question 763251: Not sure what I am doing wrong with the following equation:
3y+7/y^2-5y+6. Subtract 3/y-3
Please walk step by step so I can see what step I keep going wrong on. I know my LCD is (y-3)(y-2)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure what I am doing wrong with the following equation:
3y+7/y^2-5y+6. Subtract 3/y-3
:
this is not an equation, you have no equal sign, you are subtracting
one expression from another
:
%283y%2B7%29%2F%28y%5E2-5y%2B6%29 - 3%2F%28y-3%29
Factor the 1st denominator,
As you said, the common denominator is (y-3)(y-2)
%283y%2B7%29%2F%28%28y-3%29%28y-2%29%29 - 3%2F%28y-3%29
Write as a single fraction
%28%283y%2B7%29-3%28y-2%29%29%2F%28%28y-3%29%28y-2%29%29
Remove brackets, combine like terms
%28%283y+%2B+7-+3y+%2B+6%29%29%2F%28%28y-3%29%28y-2%29%29 = 13%2F%28%28y-3%29%28y-2%29%29