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Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).
 one year ago
 one year ago
Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).
 one year ago
 one year ago

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estudierBest ResponseYou've already chosen the best response.2
(11x + 17) / (x8) = y , right? Dunno if this is any good or not...
 one year ago

estudierBest ResponseYou've already chosen the best response.2
Need to break that up somehow....
 one year ago

estudierBest ResponseYou've already chosen the best response.2
So 105/(x8) must be integer......
 one year ago

estudierBest ResponseYou've already chosen the best response.2
Exhaustion/look for a pattern takes care of that, I think...
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
105 = 5*7*3*1. So, 8 integral solutions? Am I doing it right?
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
5*7. 2 more. 5*3. 2 more. 7*3. 2 more. and 105 itself. 2 more integral solutions. I mean x8 could be \(\pm5,7,3,1,5*7,5*3,105,7*3\), Right?
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
Thanks. :) Don't worry, I don't need the y's. I only need to show the total number of solutions are 16.
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
In the actual question, that is.
 one year ago
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