document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #205755 by oberobic(2304) $\"\"$ $\"About$

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The reciprocal of x is 1/x.
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\n" ); document.write( " $\"2%2A%281%2Fx%29+%2B+4%2A%281%2F%283x%29%29+=+1%2F3\"$
\n" ); document.write( " $\"2%2Fx+%2B+4%2F%283x%29+=+1%2F3\"$
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\n" ); document.write( "'3x' is the common denominator, so multiply through by 3x to cancel the denominators.
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\n" ); document.write( " $\"6+%2B+4+=+x\"$
\n" ); document.write( " $\"x+=+10\"$
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\n" ); document.write( "Checking...
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\n" ); document.write( " $\"2%281%2F10%29+%2B+4%281%2F30%29+=+2%2F10+%2B+4%2F30+\"$
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\n" ); document.write( " $\"2%2F10+%2B+4%2F30+=+6%2F30+%2B+4%2F30+\"$
\n" ); document.write( " $\"6%2F30+%2B+4%2F30+=+10%2F30+=+1%2F3+\"$
\n" ); document.write( "Correct
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\n" ); document.write( "The integer is x=10.
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\n" ); document.write( "Done \n" ); document.write( "

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