SOLUTION: one number is 5 less than 3 times another number. the product of the numbers is 50. find the numbers.

Question 1004051: one number is 5 less than 3 times another number. the product of the numbers is 50. find the numbers.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers x and y. (There's more than one way to do this.)
From the facts we have
y = 3x - 5
and
xy = 50
Now substitute and solve...
x(3x - 5)=50
3x^2 - 5x - 50 = 0
Factoring we get
(3x + 10)(x - 5) = 0
which gives
x = -10/3 and x = 5
If x = 5, y = 10.
If x = -10/3, y = -15.
Two solutions.
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