Question

Помогите пожалуйста срочно решите систему методом подстановки и сложением {3х - 6у = 0 { {2х- у -5 = 0 Это типо все вместе Посмотреть ответы NNNLLL54 NNNLLL54 Задание решено верно, почему поставил "нарушение"? Если не видишь текст, то перезагрузи страницу (не с телефона). Banabanana Banabanana Способ подстановки: {3х - 6у = 0{2х- у -5 = 0 Из нижнего уравнения:у = 2х-5Подставляем в верхнее:3х - 6(2х-5) = 03х - 12х + 30 = 0-9х = -309х = 30х = 30 : 9х = 10/3вычисляем у:у = 2х-5 у = 2 * (10/3) - 5у = 20/3 - 5у = (20 - 15)/3у = 5/3Ответ: (10/3; 5/3)Способ сложения:{3х - 6у = 0    |*2 {2х- у -5 = 0   |*(-3)  Домножим уравнения, получим: {6x - 12y = 0 {-6x + 3y + 15 = 0 Сложим уравнения, получим: -9у + 15 = 0 -9у = -15 9у = 15 у = 15/9 у = 5/3 подставим в верхнее уравнение, вычислим х: 3х - 6у = 0 3х - 6(5/3) = 0 3х - 10 = 0 3х = 10 х = 10/3 Ответ: (10/3; 5/3) Новые вопросы в Алгебра Алгебра 8-й класс Решите уравнение стандартным способом. Дуууже срочно 23 бали​ Срочно найти НСД и НСК whats the xpls helllpp​ Решите,то,что на фото пж 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 системы методом сложения, нужно сложить уравнения так, чтобы одна из переменных ушла. Давайте выполним эту операцию:

Исходная система:

1. 3x - 6у = 0
2. 2x - у - 5 = 0

Для удобства решения, умножим второе уравнение на 3, чтобы избавиться от коэффициента 3 перед у в первом уравнении.

Умножим уравнение 2 на 3: 3 * (2x - у - 5) = 3 * 0 6x - 3у - 15 = 0

Теперь сложим оба уравнения: (3x - 6у) + (6x - 3у - 15) = 0 + 0

Проведя сложение, получим: 3x - 6у + 6x - 3у - 15 = 0

Теперь объединим одинаковые слагаемые: (3x + 6x) + (-6у - 3у) - 15 = 0

Складываем коэффициенты при x и y: 9x - 9у - 15 = 0

Теперь перенесем все переменные на одну сторону уравнения: 9x - 9у = 15

Делим обе части уравнения на 9: x - у = 15/9

Упростим правую часть: x - у = 5/3

Теперь у нас есть система с двумя уравнениями:

1. 3x - 6у = 0
2. x - у = 5/3

Можем решить второе уравнение относительно одной из переменных и подставить значение в первое уравнение.

Из второго уравнения найдем выражение для x: x = у + 5/3

Теперь подставим значение x в первое уравнение: 3(у + 5/3) - 6у = 0

Умножим скобку: 3у + 5 - 6у = 0

Перенесем переменные на одну сторону: 3у - 6у = -5

Сократим: -3у = -5

Теперь найдем у: у = (-5) / (-3) = 5/3

Теперь найдем x, подставив у во второе уравнение: x = (5/3) + 5/3 = 10/3

Таким образом, решение системы уравнений: x = 10/3 у = 5/3