Предмет: Алгебра, автор: dariasha1648

решить в целых числах уравнение : 5х+12у=4

Ответы

Автор ответа: imnlol

$5x+12y=4;x= \frac{4-12y}{5} ;x= \frac{4-2y}{5} -2y;4-2y=5a; \frac{4-5a}{2}=y$
$y=2-2a- \frac{a}{2} ;a=2b$
возвращаемся обратно
$y=2-4b-b=2-5b;x= \frac{4-2(2-5b)}{5} -2(2-5b)=12b-4$
где b∈Z

можно проверить, при любом b будет 4=4

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