SOLUTION: 3/x-3 + 2/x+5 Please help. I keep getting different answers when I add. May you please explain step by step. Thank you.

Algebra ->  Equations -> SOLUTION: 3/x-3 + 2/x+5 Please help. I keep getting different answers when I add. May you please explain step by step. Thank you.      Log On


   

Question 1000611: 3/x-3 + 2/x+5
Please help. I keep getting different answers when I add. May you please explain step by step. Thank you.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Your spacings suggest the expression to be added is 3%2F%28x-3%29%2B2%2F%28x%2B5%29.

Use the same fractions concepts you were taught in elementary school.
LCD is %28x-3%29%28x%2B5%29.



%283x-9%29%2F%28%28x-3%29%28x%2B5%29%29%2B%282x-6%29%2F%28%28x-3%29%28x%2B5%29%29

%283x-9%2B2x-6%29%2F%28%28x-3%29%28x%2B5%29%29

%285x-15%29%2F%28%28x-3%29%28x%2B5%29%29

%285%28x-3%29%29%2F%28%28x-3%29%28x%2B5%29%29

%285cross%28%28x-3%29%29%29%2F%28cross%28%28x-3%29%29%28x%2B5%29%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

3/x-3 + 2/x+5
Please help. I keep getting different answers when I add. May you please explain step by step. Thank you.
If 3%2F%28x+-+3%29+%2B+2%2F%28x+%2B+5%29, then:

%283%28x+%2B+5%29+%2B+2%28x+-+3%29%29%2F%28x+-+3%29%28x+%2B+5%29 -------- Multiplying by LCD, (x – 3)(x + 5)

%283x+%2B+15+%2B+2x+-+6%29%2F%28x+-+3%29%28x+%2B+5%29

%283x+%2B+2x+%2B+15+-+6%29%2F%28x+-+3%29%28x+%2B+5%29

highlight_green%28%285x+%2B+9%29%2F%28x%5E2+%2B+2x+-+15%29%29