Question

Методом : Подстановки {15- х=2у {4х- 3у=27 Методом : Добавления {2x- 9y = 11 {7x + 9y = 25 Методом : Граф {3x + y = 14 {3x - y = 10 Смотреть ответ 4ompik 4ompik Метод подстановки {15-x=2y|x=15-2y подставляем x в 4х-3y=27 4(15-2y)-3y=27 60-8y-3y=27 -11y=27-60 -11y=-33 y=3 подставляем y x=15-2y=15-6=9 {x=9 {y=3 Сори, только в этом методе уверен :с Новые вопросы в Математика надо так поставить + - ÷ × () между 4. 3. 2. 1 чтобы вышло 12 ​ Помогите ответить вставь число 4/6 = /3 Пж срочно помогите!!! 2. В книге пронумеровали страницы. На это потребовалось ровно 107 цифр. Сколько страниц в этой книге? _) 55 B) 56 C) 57 D) 58 E) 59 Помогите пожалуйста даю 30б 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 решения каждой из систем уравнений применим соответствующий метод:

1. Метод подстановки: Система уравнений: { 15 - x = 2y { 4x - 3y = 27

Решение: Из первого уравнения выразим x: x = 15 - 2y

Подставим x во второе уравнение: 4(15 - 2y) - 3y = 27 60 - 8y - 3y = 27 60 - 11y = 27 -11y = 27 - 60 -11y = -33 y = 3

Теперь найдем x, подставив значение y в одно из исходных уравнений: x = 15 - 2y = 15 - 2 * 3 = 15 - 6 = 9

Таким образом, решение системы: x = 9 y = 3

2. Метод добавления: Система уравнений: { 2x - 9y = 11 { 7x + 9y = 25

Решение: Умножим первое уравнение на 9 и второе уравнение на 2, чтобы коэффициенты при y сравнялись:

{ 18x - 81y = 99 { 14x + 18y = 50

Теперь сложим оба уравнения, чтобы устранить y:

18x - 81y + 14x + 18y = 99 + 50 32x - 63y = 149

Теперь выразим x из этого уравнения: 32x = 149 + 63y x = (149 + 63y) / 32

Мы не можем найти точные значения x и y без дополнительной информации, так как у нас есть только одно уравнение с двумя неизвестными.

3. Метод графический: Система уравнений: { 3x + y = 14 { 3x - y = 10

Решение: Для каждого уравнения построим график на координатной плоскости.

Первое уравнение (3x + y = 14): y = 14 - 3x

Второе уравнение (3x - y = 10): y = 3x - 10

Теперь нарисуем графики обоих уравнений:

График первого уравнения - синяя линия:

-	---------------------

-	---------------------
-	-----*---------------
-	--------*------------
-	-----------*---------
-	--------------*------
-	----------------*---

-	------------------*-

График второго уравнения - красная линия: -|--------------------- -|-------------------- -|-------------------- -|-------------------- -|-------------------- -|------------------- -|-------------------

-	---------------------

-	---------------------

Точка пересечения графиков (решение системы) - это решение системы уравнений:

Из графика видно, что точка пересечения лежит примерно на координатах (2, 8). Округлим значения и получим:

x ≈ 2 y ≈ 8

Ответ: x ≈ 2, y ≈ 8.

Теперь ответим на дополнительные вопросы:

1. Выражение, чтобы получить 12 из чисел 4, 3, 2, 1: Давайте попробуем различные комбинации арифметических операций:

4 * (3 - 1) = 4 * 2 = 8 8 + 3 + 1 = 12

Ответ: 4 * (3 - 1) + 3 + 1 = 12

2. Вставьте число, чтобы получить верное равенство: 4/6 = /3 Для того чтобы равенство было верным, число в числителе должно быть равно 2 (4 / 2 = 2), иначе дробь не сократится:

4/6 = 2/3

Ответ: 4/6 = 2/3

3. Сколько страниц в книге, если на их нумерацию потребовалось 107 цифр? Предположим, что книга имеет N страниц. Обратим внимание, что двузначные числа имеют 2 цифры, трехзначные - 3 цифры и т.д.

Посчитаем, сколько цифр содержат числа от 1 до N: 1-9: 9 * 1 цифра = 9 цифр 10-99: 90 * 2 цифры = 180 цифр 100-999: 900 * 3 цифры = 2700 цифр

Суммируем: 9 + 180 + 2700 = 2889 цифр

Теперь вычитаем это число из общего количества цифр (107) и находим количество цифр на страницах с номерами от 1000 и выше:

107 - 2889 = -2782

Это отрицательное число означает, что у нас не хватает цифр для нумерации страниц от 1000 и выше. Следовательно, максимальный номер страницы составляет 999 (и содержит 2700 цифр). Но для получения общего числа цифр, равного 107, нам нужно учесть еще 107 - 2700 = -2593 цифры.

Теперь найдем количество цифр на страницах с номерами от 100 до 999:

(107 - 2700) / 3 = -2593 / 3 = -864.33

Опять же, получаем отрицательное значение, что не имеет смысла в контек