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Ishaan94
 2 years ago
Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).
Ishaan94
 2 years ago
Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).

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

estudier
 2 years ago
Best ResponseYou've already chosen the best response.2Need to break that up somehow....

estudier
 2 years ago
Best ResponseYou've already chosen the best response.2So 105/(x8) must be integer......

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

Ishaan94
 2 years ago
Best ResponseYou've already chosen the best response.0105 = 5*7*3*1. So, 8 integral solutions? Am I doing it right?

Ishaan94
 2 years ago
Best ResponseYou've already chosen the best response.05*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?

Ishaan94
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks. :) Don't worry, I don't need the y's. I only need to show the total number of solutions are 16.

Ishaan94
 2 years ago
Best ResponseYou've already chosen the best response.0In the actual question, that is.
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