document.write( "Question 1017182: The difference between the triple of a number and a quarter of another number is 13 and the other is double the first number plus twice the second is 18. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #633579 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your two equations are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x - y/4 = 13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 2y = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y in the first equation to get y = 12x - 52.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace y with 12x - 52 in the second equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 2 * (12x - 52) = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 122/26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y in the first equation to get y = 112/26.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that x = 122/26 and y = 112/26.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x and y with these values in both the original equations and you will find that they are true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the mathematics is cumbersome.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you have a calculator with more than one memory, it pays to do the math using your calculator and storing the results.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "doing it that way, i got:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4.692307692\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 4.307692308\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |