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Решите систему уравнений МЕТОДОМ ПОДСТАНОВКИ {3x-2y=12 {x+2y=-4 Смотреть ответ Забыл добавить( Решите систему уравнений МЕТОДОМ АЛГЕБРАИЧЕСКОГО СЛОЖЕНИЯ {9x+8y=21 {6x+4y=13 novokuz novokuz Решение на фото во вложении. Добавила решение второй системы. Забыл добавить( Решите систему уравнений МЕТОДОМ АЛГЕБРАИЧЕСКОГО СЛОЖЕНИЯ {9x+8y=21 {6x+4y=13 Новые вопросы в Алгебра решите поооооожааааалуйста 100√0.04-√289​ пж5 есеп істеп беріндер 1. Решите задачу с помощью системы уравнений. Сумма цифр двузначного числа равна 12. Если цифры этого числа переставить, то получить- ся число, больше … е искомого на 18. Найдите это число.​ помогите пожалуйста это срочно​ алгебре помоги ммммммм Предыдущий Следующий Вместе мы знаем больше КОМПАНИЯ Блог Карьера Условия пользования Авторское право Политика конфиденциальности Предпочтения cookie-файлов СООБЩЕСТВО Сообщество Brainly Brainly для школ и учителей Сообщество родителей Кодекс чести Правила сообщества Brainly Insights Стань помощником ПОМОЩЬ Зарегистрируйся Центр помощи Центр безопасности Договор о конфиденциальности полученной информации Установи приложение Brainly Скачай iOS-приложение Скачай для Android Школьные Знания.com PL: Brainly.pl ES: Brainly.lat PT: Brainly.com.br FR: Nosdevoirs.fr TR: Eodev.com RO: Brainly.ro ID: Brainly.co.id HI: Brainly.in PH: Brainly.ph US: Brainly.com (function() { window.process = window.process || {}; window.process.env = { NEXT_PUBLIC_PAYMENTS_ENDPOINT: "https://znanija.com/graphql/ru", NEXT_PUBLIC_HEADER_TOKEN_LONG: 'X-B-Token-Long', NEXT_PUBLIC_COOKIE_TOKEN_LONG: 'Zadanepl_cookie[Token][Long]', 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Answer 1

Давайте начнем с первой системы уравнений и решим её методом подстановки:

Система уравнений:

1. 3x - 2y = 12
2. x + 2y = -4

Сначала выразим x из второго уравнения: x = -4 - 2y

Теперь подставим это значение x в первое уравнение: 3(-4 - 2y) - 2y = 12

Умножим 3 на каждый член в скобках: -12 - 6y - 2y = 12

Теперь объединим подобные члены: -12 - 8y = 12

Теперь добавим 12 к обеим сторонам уравнения: -8y = 12 + 12 -8y = 24

Теперь разделим обе стороны на -8, чтобы найти y: y = 24 / -8 y = -3

Теперь, когда у нас есть значение y, мы можем найти x, используя второе уравнение: x + 2(-3) = -4 x - 6 = -4

Теперь добавим 6 к обеим сторонам уравнения: x = -4 + 6 x = 2

Итак, решение первой системы уравнений: x = 2 y = -3

Теперь перейдем ко второй системе уравнений и решим её методом алгебраического сложения:

Система уравнений:

1. 9x + 8y = 21
2. 6x + 4y = 13

Давайте умножим второе уравнение на 2, чтобы сделать коэффициенты y одинаковыми:

1. 9x + 8y = 21
2. 12x + 8y = 26

Теперь вычтем второе уравнение из первого, чтобы устранить y:

(9x + 8y) - (12x + 8y) = 21 - 26

Сократим подобные члены: 9x - 12x = -5

-3x = -5

Теперь разделим обе стороны на -3, чтобы найти x: x = -5 / -3 x = 5/3

Теперь, когда у нас есть значение x, мы можем найти y, используя, например, первое уравнение:

9(5/3) + 8y = 21

Умножим обе стороны на 3, чтобы избавиться от дробей: 15 + 8y = 21

Теперь выразим y: 8y = 21 - 15 8y = 6

Разделим обе стороны на 8, чтобы найти y: y = 6 / 8 y = 3/4

Итак, решение второй системы уравнений: x = 5/3 y = 3/4

Это решения обеих систем уравнений методом подстановки и методом алгебраического сложения соответственно.