document.write( "Question 384715: Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than or equal to 12. \n" ); document.write( "
Algebra.Com's Answer #272344 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = one of the integers \n" ); document.write( "y = the other\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2*y \n" ); document.write( "x + y <= 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute for x in the second equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2*y + y <= 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*y <= 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by 3 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y <= 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the greatest that y can be is 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if y is equal to 4, then x = 2*y means that x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the greatest that x can be is 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 8 and y = 4, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 = 2*4 = ok \n" ); document.write( "4 + 8 = 12 = ok\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |