document.write( "Question 358616: the sum of two numbers is the same as their product, and the difference of thier recoprocals is 3. find the numbers \n" ); document.write( "

Algebra.Com's Answer #255973 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Let x represent  and y the other
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document.write( "the difference of their reciprocals is 3
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document.write( "1/y - (1/x)= 3 
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document.write( "Multiplying thru with xy to clear the demominators
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document.write( "x - y  = 3xy
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document.write( "the sum of two numbers is the same as their product****
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document.write( "x + y = xy
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document.write( "Adding the equation together & eliminating the y variable
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document.write( "2x = 4xy
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document.write( "1/2 = y
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document.write( "substituting for y 
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document.write( "x + 1/2 = x/2
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document.write( "x/2 = -1/2
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document.write( "x = -1
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document.write( "Checking our answer
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document.write( " 2 - (-1) = 3 \n" );
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