6. Решите уравнение: 1) x : 18 = 23; 2) 228 : x = 12; 3) (x − 3) : 4 = 6; 4) x : 4 − 3 = 6; 5) 36 : (x − 2) = 4; 6) 36 : x − 2 = 4.

Question

Accepted Answer

\(x : 18 = 23\)
\(x = 23 \cdot 18 = 414\).
Проверка: \(414 : 18 = 23\).
\(228 : x = 12\)
\(x = 228 : 12 = 19\).
Проверка: \(228 : 19 = 12\).
\((x - 3) : 4 = 6\)
\(x - 3 = 6 \cdot 4 = 24\).
\(x = 24 + 3 = 27\).
Проверка: \((27 - 3) : 4 = 6\).
\(x : 4 - 3 = 6\)
\(x : 4 = 6 + 3 = 9\).
\(x = 9 \cdot 4 = 36\).
Проверка: \(36 : 4 - 3 = 6\).
\(36 : (x - 2) = 4\)
\(x - 2 = 36 : 4 = 9\).
\(x = 9 + 2 = 11\).
Проверка: \(36 : (11 - 2) = 4\).
\(36 : x - 2 = 4\)
\(36 : x = 4 + 2 = 6\).
\(x = 36 : 6 = 6\).
Проверка: \(36 : 6 - 2 = 4\).

Ответ: 1) 414; 2) 19; 3) 27; 4) 36; 5) 11; 6) 6.