document.write( "Question 699756: the sum of the reciprocal of a number and the reciprocal of 3 less than the number is 8 times the reciprocal of the original number. find the original number. \r
\n" ); document.write( "\n" ); document.write( "choices (in case this helps)
\n" ); document.write( "a) 7/2
\n" ); document.write( "b) -2
\n" ); document.write( "c) 8/5
\n" ); document.write( "d) 21/8
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Algebra.Com's Answer #431548 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
let number be x
\n" ); document.write( "reciprocal = 1/x\r
\n" ); document.write( "\n" ); document.write( "reciprocal of 3
\n" ); document.write( "=1/3
\n" ); document.write( "(1/3)-x\r
\n" ); document.write( "\n" ); document.write( "(1/x) + (1/(x-3) = (8/x)\r
\n" ); document.write( "\n" ); document.write( "multiply equation by x(x-3)\r
\n" ); document.write( "\n" ); document.write( "(x-3) +x=8(x-3)\r
\n" ); document.write( "\n" ); document.write( "x-3+x=8x-24\r
\n" ); document.write( "\n" ); document.write( "6x=21
\n" ); document.write( "x=7/2\r
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