SOLUTION: 5/3x-1 - x-7/9x^-1=-2/3x+1
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Question 174167: 5/3x-1 - x-7/9x^-1=-2/3x+1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Assume that the problem is actually:
- =
:
(9x^2-1) is difference of squares, factor this:
- =
:
Multiply equation by (3x+1)(3x-1)
(3x+1)(3x-1)* - (3x+1)(3x-1)* = (3x+1)(3x-1)*
:
Cancel out the denominators:
5(3x+1) - (x-7) = -2(3x-1)
:
15x + 5 - x + 7 = -6x + 2
:
14x + 12 = -6x + 2
:
14x + 6x = 2 - 12
:
20x = -10
x =
x =
:
You can check the solution in the original equation using x=-.5
- =
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