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 M

Question 355819: 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
My work so far:
3x/x-2 - 6/x-2 =0
3x-6/x-2 =0
3�(x-2)/x-2 =0
3�(x-2)/(x-2)=0
[(x-2)'s cross out]
3=0
Is this correct? Then how do I check it? Thanks!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3x/x-2 = 6/x-2
My work so far:
3x/x-2 - 6/x-2 =0
3x-6/x-2 =0
3�(x-2)/x-2 =0
3�(x-2)/(x-2)=0
[(x-2)'s cross out]
3=0
-------------
3x/x-2 = 6/x-2
Multiply by x-2
3x = 6
x = 2
------
But that makes the denominator zero --> no solution
That's why you got 3 = 0 when you checked

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