SOLUTION: Can someone please help me solve the following two equations. I can not seem to solve them. I have tried and tried and keep coming up with a differet answer. Thanks for your help

Question 298411: Can someone please help me solve the following two equations. I can not seem to solve them. I have tried and tried and keep coming up with a differet answer. Thanks for your help
1.) x/x-1 - 3/x = 1/2

2.) 1/x + 1/6 = 1/4
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Can someone please help me solve the following two equations. I can not seem to solve them. I have tried and tried and keep coming up with a differet answer. Thanks for your help
:
1.)

Multiply by 2x(x-1), results:
2x(x) - 2(x-1)*3 = x(x-1)
2x^2 - 6(x-1) = x^2 - x
2x^2 - 6x + 6 = x^2 - x
2x^2 - x^2 - 6x + x + 6 = 0
x^2 - 5x + 6 = 0
Factor
(x-3)(x-2) = 0
x = 3
x = 2
:
:
2.)

multiply by 12x, results
12 + 2x = 3x
12 = 3x - 2x
12 = x
:
:
Check all solutions in the original problems by sustitution
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