document.write( "Question 1037062: Xy=2x-y.(x,y are integer)solve for x,y \n" ); document.write( "

Algebra.Com's Answer #651753 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Xy=2x-y. (x,y are integer)solve for x,y
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document.write( "There are only two solutions (two pairs of solutions) for integer x and y.\r\n" );
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document.write( "They are:\r\n" );
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document.write( "1)  x = 0, y = 0, \r\n" );
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document.write( "and\r\n" );
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document.write( "2)  x = 1,  y = 1.\r\n" );
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document.write( "There are no other integer solutions.\r\n" );
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document.write( "For the proof, express y via x in the form y =  and note that the right side is less than 2 at x >= 2.\r\n" );
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