SOLUTION: Show the steps that you would take to solve the following algebraically: 4- X\X-2= -2\X-2 b) What potential solution did you obtain? Explain why this is this not a solu

Algebra ->  Human-and-algebraic-language -> SOLUTION: Show the steps that you would take to solve the following algebraically: 4- X\X-2= -2\X-2 b) What potential solution did you obtain? Explain why this is this not a solu      Log On


   

Question 112593: Show the steps that you would take to solve the following algebraically:
4- X\X-2= -2\X-2

b) What potential solution did you obtain? Explain why this is this not a solution.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
: Show the steps that you would take to solve the following algebraically:
4- X\X-2= -2\X-2
Assume you mean:
4 - x%2F%28%28x-2%29%29 = %28-2%29%2F%28%28x-2%29%29
:
Multiply equation by (x-2) to get rid of the denominators:
4(x-2) - (x-2)*x%2F%28%28x-2%29%29 = (x-2)*%28-2%29%2F%28%28x-2%29%29
:
Cancel out the denominators and you have
4(x-2) - x = -2
:
4x - 8 - x = -2
:
4x - x = -2 + 8
:
3x = +6
:
x = 2
:
:
b) What potential solution did you obtain? Explain why this is this not a solution.
:
Substituting 2 for x in the original equation gives you denominators of 0