document.write( "Question 856832: One number is 3 more than 2 times another. Their product is 27. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #805929 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! x = 2y + 3 \n" ); document.write( "xy = 27\r \n" ); document.write( "\n" ); document.write( "Substitute x = 2y + 3 into the second equation.\r \n" ); document.write( "\n" ); document.write( "(2y + 3)(y) = 27 \n" ); document.write( "2y^2 + 3y - 27 = 0 \n" ); document.write( "(2y + 9)(y - 3) = 0 \n" ); document.write( "y = -9/2 or y = 3\r \n" ); document.write( "\n" ); document.write( "Solutions: (x, y) = (-6, -9/2) or (9, 3) \n" ); document.write( " |