SOLUTION: One number is 9 more than 2 times another. Their product is 5 more than 3 times their sum. Find the numbers. Answer in the form of paired points with the lowest of the two inte
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Question 959492: One number is 9 more than 2 times another. Their product is 5 more than 3 times their sum. Find the numbers. Answer in the form of paired points with the lowest of the two integers first
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x = larger number
y = smaller number
x = 2y + 9
xy = 3(x + y) + 5
Substitute x into the second equation.
(2y + 9)(y) = 3(2y + 9 + y) + 5
2y^2 + 9y = 3(3y + 9) + 5
2y^2 + 9y = 9y + 32
2y^2 = 32
y^2 = 16
y = 4 or -4
The integers are (x, y) = (17, 4) or (1, -4)
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