document.write( "Question 1058386: One number is six less than a second number. Six times the first is 3 more than 3 times the second. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #673453 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent the first number, and x + 6 represent the second number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then \"six times the first is 3 more than 3 times the second\" can be written as the \n" ); document.write( "following equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x = 3(x + 6) + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Expanding the terms on the right side gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x = 3x + 18 + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x = 3x + 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x - 3x = 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The first number is 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The second number is x + 6 = 7 + 6 = 13. \n" ); document.write( " |