anonymous
  • anonymous
Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
K, so what's y?
anonymous
  • anonymous
(11x + 17) / (x-8) = y , right? Dunno if this is any good or not...
anonymous
  • anonymous
Need to break that up somehow....

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anonymous
  • anonymous
11 + 105/(x-8)
anonymous
  • anonymous
So 105/(x-8) must be integer......
anonymous
  • anonymous
Exhaustion/look for a pattern takes care of that, I think...
anonymous
  • anonymous
105 = 5*7*3*1. So, 8 integral solutions? Am I doing it right?
anonymous
  • anonymous
It's x we want....
anonymous
  • anonymous
5*7. 2 more. 5*3. 2 more. 7*3. 2 more. and 105 itself. 2 more integral solutions. I mean x-8 could be \(\pm5,7,3,1,5*7,5*3,105,7*3\), Right?
anonymous
  • anonymous
Ther u go....
anonymous
  • anonymous
Then the y's
anonymous
  • anonymous
11 +
anonymous
  • anonymous
Thanks. :-) Don't worry, I don't need the y's. I only need to show the total number of solutions are 16.
anonymous
  • anonymous
In the actual question, that is.

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