SOLUTION: One number is 3 more than 2 times another. Their product is 27. Find the numbers.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: One number is 3 more than 2 times another. Their product is 27. Find the numbers.       Log On


   



Question 856832: One number is 3 more than 2 times another. Their product is 27. Find the numbers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = 2y + 3
xy = 27
Substitute x = 2y + 3 into the second equation.
(2y + 3)(y) = 27
2y^2 + 3y - 27 = 0
(2y + 9)(y - 3) = 0
y = -9/2 or y = 3
Solutions: (x, y) = (-6, -9/2) or (9, 3)