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
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Polynomials-and-rational-expressions
-> 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
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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
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3x/x-2 = 6/x-2
Multiply by x-2
3x = 6
x = 2
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But that makes the denominator zero --> no solution
That's why you got 3 = 0 when you checked
