document.write( "Question 861679: Find two integers whose product is 44 such that one of the integers is nine less than five times the other integer. \n" ); document.write( "
Algebra.Com's Answer #805861 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! xy = 44 \n" ); document.write( "x = 5y - 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute x = 5y - 9 into the first equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(5y - 9)(y) = 44 \n" ); document.write( "5y^2 - 9y - 44 = 0 \n" ); document.write( "(y - 4)(5y + 11) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y must be an integer, so y = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "integers: (x, y) = (11, 4) \n" ); document.write( " |