Ecuatia devine $a * (x + k * b/d) + b * (y - k * a/d) = c$. Desfacand parantezele: $a * x + k * a * b / d + b * y - k * a * b / d = a * x + b * y$. Solutiile noi sunt la randul lor intregi, $a$ si $b$ fiind divizibile cu $d$.

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