SOLUTION: the reciprocal of two more then a number is three times the reciprocal of the number. find the number?

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Question 498219: the reciprocal of two more then a number is three times the reciprocal of the number. find the number?
Answer by lmeeks54(111) About Me  (Show Source):
You can put this solution on YOUR website!
As usual with word problems, understanding what is asked for is important.
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1%2F%28x%2B2%29+=+3+%281%2Fx%29
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take the cross product of the equality:
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x = 3(x + 2)
x = 3x + 6
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consolidate all the x terms on the left side, by subtracting 3x from both sides:
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x - 3x = 3x + 6 - 3x
-2x = 6
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divide by 2:
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-x = 3
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multiply by -1:
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x = -3
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check your work:
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1%2F%28-3%2B2%29+=+3%2F%28-3%29
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-1 = -1 is true
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Cheers,
Lee