SOLUTION: Find two integers whose product is 78 such that one of the integers is five less than three times the other integer. smaller number: larger number: I got: y=-6 and y=13/3

Question 846903: Find two integers whose product is 78 such that one of the integers is five less than three times the other integer.
smaller number:
larger number:
I got: y=-6 and y=13/3 from the factors (3y-13) and (y+6).
Thank you for your help!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the integers = and
given:
(1)
(2)
------------------------
Substitute (2) into (1)
(1)
(1)
(1)
Use quadratic formula

and
(2)
(2)
(2)
(2)
The integers are 6 and 13
check:
(1)
(1)
(1)
OK

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