SOLUTION: Hi I need help with adding and subtracting with unlike denominators. If you could do this 1 problem I would very much appriceate it! 1. (2x+1)/(3x-1)

SOLUTION: Hi I need help with adding and subtracting with unlike denominators. If you could do this 1 problem I would very much appriceate it! 1. (2x+1)/(3x-1) - (x+4)/(x-2) Thank You!

Question 74436: Hi I need help with adding and subtracting with unlike denominators. If you could do this 1 problem I would very much appriceate it!
1. (2x+1)/(3x-1) - (x+4)/(x-2)
Thank You!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

The LCD is (3x-1)(x-2). So we multiply the terms to get to the LCD
Multiply both terms by a clever form of 1 to get to the LCD

foil the two sets of parenthesis
Add like terms
There's your simplified answer
Note: you can graph these expressions and you'll see that they're equal
Graph of

Graph of
So this shows that they are both equal.
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