document.write( "Question 1057851: The sum of two numbers is 17. One number is three less than four times the other. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #672861 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent one number, and let y represent the other number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the sum of the two numbers is 17, you can write the following \n" ); document.write( "equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, since \"one number is three less than 4 times the other\", you can \n" ); document.write( "write:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4y - 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting \"4y - 3\" in place of x in the first equation gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4y - 3 + y = 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5y - 3 = 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then x = 17 - y = 17 - 4 = 13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution: The two numbers are 4 and 13. \n" ); document.write( " |