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
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document.write( "choices (in case this helps)
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document.write( "a) 7/2
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document.write( "b) -2
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document.write( "c) 8/5
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document.write( "d) 21/8 \n" );
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Algebra.Com's Answer #431548 by mananth(16946) 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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |