Предмет: Алгебра, автор: dekabrskaya

Решите уравнение в целых числах 5x-12y=8

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Автор ответа: belcatya

5

5x-8=12y
y=(5x-8)/12
чертим график и находим целые решения
(в приложении)

P.s. если нужны все целые решения, то замечаем, что их бесконечно много (через каждые 12 единичных отрезков по оси x вправо, ордината точек увеличивается на 1, при уменьшении абсциссы на 12 единиц, ордината уменьшается на 1)

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