document.write( "Question 1050042: how to proof 8x - 12y = 14 has no integral solution in x and y \n" ); document.write( "
Algebra.Com's Answer #665636 by Edwin McCravy(20083) You can put this solution on YOUR website! \r\n" ); document.write( "8x - 12y = 14\r\n" ); document.write( "\r\n" ); document.write( "Divide through by 2:\r\n" ); document.write( "\r\n" ); document.write( "4x - 6y = 7\r\n" ); document.write( "\r\n" ); document.write( "4x and 6y are both divisible by 2.\r\n" ); document.write( "The sum, difference, and product of any \r\n" ); document.write( "two even numbers is always even.\r\n" ); document.write( "\r\n" ); document.write( "Therefore it is impossible to subtract\r\n" ); document.write( "an even number 6y from another even\r\n" ); document.write( "number 4x and get the odd number 7.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |