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

Algebra ->  Human-and-algebraic-language -> SOLUTION: Show the steps that you would take to solve the following algebraically: 5- 2\X-6= 10-2x\X-6 b) What potential solution did you obtain? Explain why this is this not a solutio      Log On


   

Question 121728: Show the steps that you would take to solve the following algebraically:
5- 2\X-6= 10-2x\X-6
b) What potential solution did you obtain? Explain why this is this not a solution.


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a.)5-+2%2F%28X-6%29=+%2810-2X%29%2F%28X-6%29Original equation.
5%28X-6%29-2=+10-2XMultiply both sides by (X-6).
5X-30-2=10-2XDistribute.
5X-32=10-2XSimplify both sides.
7X=42
X=6
b.) X=6 cannot be a solution because in your original equation (X-6) is in the denominator.
The expression would become undefined if X=6, the denominator would equal zero.