Need to solve below question:
Find all solutions in integers $x$ and $y$ of the equation->> $xy + 5x -8y = 79$
Any hint is welcome.
2026-04-25 08:49:21.1777106961
Integral solution of two variable equation
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It's $$xy+5x-8y-40=39$$ or $$(y+5)(x-8)=39,$$ and solve a number of systems: $$x-8=-39$$ and $$y+5=-1...$$
For $$x-8\in\{-39,-13,-3,-1,1,3,13,39\}$$ you'll get all integer solutions.