document.write( "Question 328704: the sum of two integers is 42. their difference is 8 find the integers. \n" ); document.write( "
Algebra.Com's Answer #235477 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = one of the integers \n" ); document.write( "let y = the other of the integers\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sum is 42 gets you x + y = 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The difference is 8 gets you x - y = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You need to solve these 2 equations simultaneously to get your answers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equations are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 42 \n" ); document.write( "x - y = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add the 2 equations together to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides of this equation by 2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x = 25, then x + y = 42 gets you y = 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x = 25 and y = 17, then x - y = 8 gets you 25 - 17 = 8 which becomes 8 = 8 which is true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This confirms that the values of 25 for x and 17 for y are good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your answer is that the integers are 25 and 17.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25 + 17 = 42 \n" ); document.write( "25 - 17 = 8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |