ГДЗ по алгебре 7 класс Макарычев ФГОС Задание 1200

\[\boxed{\text{1200.}\text{\ }еуроки - ответы\ на\ пятёрку}\]

\[(a - 1)x = 12\]

\[x = \frac{12}{a - 1};\ \ \ \ a \neq 1;\ \ \ \ \]

\[12 = 1 \cdot 2 \cdot 2 \cdot 3;\]

\[если\ a - 1 = 1 \Longrightarrow \ \ a = 2:\]

\[x = \frac{12}{1} = 12;\]

\[если\ a - 1 = 2 \Longrightarrow \ \ a = 3:\]

\[x = \frac{12}{2} = 6;\]

\[если\ a - 1 = 4 \Longrightarrow \ a = 3:\]

\[x = \frac{12}{4} = 3;\]

\[если\ a - 1 = 6 \Longrightarrow \ a = 7:\]

\[x = \frac{12}{6} = 2;\]

\[если\ a - 1 = 12 \Longrightarrow a = 13:\]

\[x = \frac{12}{12} = 1.\]

\[Ответ:a = 2;3;4;5;7;13.\]