SOLUTION: I need help with the following problems: 1) 2/x^2-x-12 - 6/x+4 = 2/x-3 2) x-1/3 + x+2/4 = 1/6 3) 5/3x - 1/9 = 1/x 4) 3/3x-2 = 4/2x+1 I need to solve these "Equations

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Question 440679: I need help with the following problems:
1) 2/x^2-x-12 - 6/x+4 = 2/x-3
2) x-1/3 + x+2/4 = 1/6
3) 5/3x - 1/9 = 1/x
4) 3/3x-2 = 4/2x+1
I need to solve these "Equations with Rational Expressions" and i am having trouble figuring out how to find the LCD for some of them and others i just don't know how to go about solving them at all. Please help.
~ Thank you.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi

If I am understqanding Your question(s) properly:

2)    OR 

    4(x-1) + 3(x-2) = 2 |Multiplying thru with 12 so as all denominators = 1

        7x = 12

         x = 12/7

3)   |Multiplying thru with 9x so as all denominators = 1

     3*5  - x = 9

        6 = x

4)   | Cross Multiplying 

       4(3x-2) = 3(2x+1)

          6x = 11

           x = 11/6



1)

  Check Your sign: should this be?

 

then

    2 - 6(x-3) = 2(x+4)   |Multiplying thru with (x+4)(x-3):  

    2 - 6x + 18 = 2x+4

        16 = 8x

         x = 2 

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