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Решите методом сложением {х-13у=24{3у-х=-4 Смотреть ответ lysovasasha lysovasasha {x-13y=24 x-(13×(-2))=24 {-x+3y=-4 x+26=24 -10y=20 x=24-26 y=-2 x=-2 а я не поняла почему во 2 строчные стоит первым Х, а не У? Новые вопросы в Математика 120÷(30-18)+4×8-18÷(5-2)​ Найдите остаток от деления 32467^7777 на 7. Помогите пожалуйста. пожалуйста мне срочно нужно решить!!!! даю 30 баллов!!!!!​ Раскройте скобки и найдите значение выражения Раскройте скобки и найдите значение выражения Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Answer 1

Для удобства, давайте рассмотрим систему уравнений:

1. x - 13y = 24
2. -x + 3y = -4

Метод сложения (или метод исключения) заключается в том, чтобы сложить оба уравнения таким образом, чтобы одна из переменных исчезла.

Давайте сложим оба уравнения: (x - 13y) + (-x + 3y) = 24 + (-4)

На левой стороне уравнения "x" и "-x" взаимоуничтожаются: -10y = 20

Теперь выразим "y": y = 20 / -10 y = -2

Теперь, когда у нас есть значение "y", мы можем найти "x", подставив его в любое из исходных уравнений. Давайте воспользуемся первым уравнением:

x - 13y = 24 x - 13(-2) = 24 x + 26 = 24 x = 24 - 26 x = -2

Таким образом, решением системы уравнений является x = -2 и y = -2.

---

Теперь, перейдем к вашим новым вопросам:

1. Решение выражения: 120 ÷ (30 - 18) + 4 × 8 - 18 ÷ (5 - 2)

120 ÷ (30 - 18) + 4 × 8 - 18 ÷ (5 - 2) 120 ÷ 12 + 32 - 18 ÷ 3 10 + 32 - 6 42

Ответ: 42.

2. Найдите остаток от деления 32467^7777 на 7.

Чтобы найти остаток от деления большого числа на другое число, используем теорему остатков (также известную как теорема Ферма).

Теорема Ферма гласит, что если "a" не делится на "p", где "p" - простое число, то:

a^(p-1) ≡ 1 (mod p)

где "≡" обозначает "конгруэнтно" (имеет тот же остаток).

В данном случае, нас интересует остаток от деления 32467^7777 на 7. 7 - простое число, и оно не делит 32467 (7 не является делителем 32467). Поэтому мы можем использовать теорему Ферма:

32467^(7-1) ≡ 1 (mod 7)

32467^6 ≡ 1 (mod 7)

Теперь нам нужно найти остаток от деления 7777 на 6:

7777 ÷ 6 = 1296 с остатком 1

Таким образом:

32467^7777 = 32467^(6 * 1296 + 1) ≡ (32467^6)^1296 * 32467 ≡ 1^1296 * 32467 ≡ 32467 (mod 7)

Ответ: Остаток от деления 32467^7777 на 7 равен 32467.