SOLUTION: 93xy is divisible by 72. then, x= y=

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Question 238468: 93xy is divisible by 72. then,
x=
y=

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Find the prime factors of both constant terms
Factors of 93 --> 3,31
Factors of 72 --> 3,3,2,2,2
For the left side to be divisible with a remainder of 0, the left side must include all the factors of 72. Since 93 already has a factor of 3, you need x and y to include the other factors of 72 (the second 3 and all of the 2s)
So the product of x and y must include 3, 2, 2, 2
There are an infinite number of x and y that can do that.
One pair would be x = 3 y=8
Another is x=6 y=4
Basically ANY combination of xy that is a multiple of 24 will do the trick.
Make sense?