SOLUTION: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer. 3x/x-2= 6/x-2 CH

Algebra ->  Equations -> SOLUTION: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer. 3x/x-2= 6/x-2 CH      Log On


   

Question 352666: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer.
3x/x-2= 6/x-2
CHECK.
If I am correct, the x-2's cancel out? Or am I wrong? Please help me, I have no clue! Thanks a ton!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, you can't cancel them out.
%283x%29%2F%28x-2%29=6%2F%28x-2%29
%283x%29%2F%28x-2%29-6%2F%28x-2%29=0
%283x-6%29%2F%28x-2%29=0
%283%28x-2%29%29%2F%28x-2%29=0
Now you can cancel them out,
3%2Across%28%28x-2%29%29%2Fcross%28%28x-2%29%29=0
3=0
Since the equation leads to an inconsistency, there is no solution.