SOLUTION: Show the steps that you would take to solve the following algebraically: A) 5-2/x-6=10-2x/x-6 B) What potential solution did you obtain? Explain why this is not a solution.

Algebra ->  Radicals -> SOLUTION: Show the steps that you would take to solve the following algebraically: A) 5-2/x-6=10-2x/x-6 B) What potential solution did you obtain? Explain why this is not a solution.      Log On


   

Question 90868: Show the steps that you would take to solve the following algebraically:
A) 5-2/x-6=10-2x/x-6
B) What potential solution did you obtain? Explain why this is 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:
A) 5-2/x-6=10-2x/x-6
Assume you mean (a couple sets of brackets would help)
5+-+%282%2F%28%28x-6%29%29%29 = %28%2810+-+2x%29%29%2F%28%28x-6%29%29%29
:
multiply both sides by (x-6) to get rid of the denominators, resulting in:
5(x-6) - 2 = 10 - 2x
:
5x - 30 - 2 = 10x - 2x
:
5x - 32 = 10 - 2x
:
5x + 2x = 10 + 32
:
7x = 42
:
x = 42/7
:
x = 6
:
:
B) What potential solution did you obtain? x = 6
:
Explain why this is not a solution.
When you substitute 6 for x in the denominators, you have division by 0.