SOLUTION: Two times the reciprocal of an integer, plus 4 times the reciprocal of 3 times the integer is 1/3. find the integer.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Two times the reciprocal of an integer, plus 4 times the reciprocal of 3 times the integer is 1/3. find the integer.      Log On


   

Question 283475: Two times the reciprocal of an integer, plus 4 times the reciprocal of 3 times the integer is 1/3. find the integer.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The reciprocal of x is 1/x.
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2%2A%281%2Fx%29+%2B+4%2A%281%2F%283x%29%29+=+1%2F3
2%2Fx+%2B+4%2F%283x%29+=+1%2F3
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'3x' is the common denominator, so multiply through by 3x to cancel the denominators.
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6+%2B+4+=+x
x+=+10
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Checking...
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2%281%2F10%29+%2B+4%281%2F30%29+=+2%2F10+%2B+4%2F30+
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2%2F10+%2B+4%2F30+=+6%2F30+%2B+4%2F30+
6%2F30+%2B+4%2F30+=+10%2F30+=+1%2F3+
Correct
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The integer is x=10.
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Done