document.write( "Question 807985: One number is 3 times another. Their product is 3 times their sum. Find the numbers x and y. (Assume x > y.) \n" ); document.write( "
Algebra.Com's Answer #806036 by CubeyThePenguin(3113) You can put this solution on YOUR website! x = 3y \n" ); document.write( "xy = 3(x + y)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute x = 3y into the second equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3y(y) = 3(3y + y) \n" ); document.write( "4y^2 = 3(4y) \n" ); document.write( "4y^2 = 12y \n" ); document.write( "y^2 - 3y = 0 \n" ); document.write( "y(y - 3) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x, y) = (0, 0) or (3, 9) \n" ); document.write( " |