Вопрос задан 20.07.2023 в 01:48. Предмет Алгебра. Спрашивает Асатуров Николай.

Решите систему уравнений методом сложения {2x-5y=6{4x+5y=24​

Посмотреть ответы amina20045 amina20045 Вот прошу ответ получился y=0.8 x=5 Надеюсь помогла ЧерриБерри ЧерриБерри Дано: {2х-5у=6 {4х+5у=24; Найти: Х, У (решить систему) Решение: Чтобы определить будет тут сложение или вычитание нужно посмотреть на одинаковое выражение (в данном случае это "5у"). Тут с 1-ом выражении стоит знак -, а во 2-ом +, значит мы должны поставить + для того, чтобы избавиться от 2-ого неизвестного. {6х=30 {4х+5у=24; (записывается для правильности написания) Ну и находим Х: {х=5 {у=... Чтобы найти У нам нужно воспользоваться методом подстановки (далее либо решается в уме при возможности, либо записывается перед ответом выше) {10-5у=6 {20+5у=24; Находим У: {-5у=-4 {5у=4; {х=5 {х=5{у=0,8 или 4/5 (в виде дроби) Конечный ответ, записывается в конце системы, а сам ответ в координатах. Ответ: (5;0,8) Новые вопросы в Алгебра ПОМОГИТЕ ПОЖАЛУЙСТА!!! алгебра 7 класс! фото прикреплю, задание не очень сложное, но я не могу решит) Шахматист играет не менее одной партии в день и не более 12 за любую неделю (неде-ля начинается в понедельник и заканчивается в воскресенье). Докажите … , что найдется несколько подряд идущих дней, за которые он сыграет ровно 20 партий. морская вода содержит 5% солей.Сколько чистой воды надо добавить в 40 литров морской воды,чтобы процент соли был 2%​ найдите числа M и N, чтобы выполнялось равенство (фото ниже) если не тяжело, то с подробным решением Найдите такие числа M и N, чтобы выполнялось равенство(фото ниже) если не тяжело, то с подробным решением ^@[email protected]^ 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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Для решения данной системы уравнений методом сложения, мы должны избавиться от одной из переменных, чтобы найти значение другой переменной. Для этого следует выполнить следующие шаги:

Дано система уравнений:

  1. 2x - 5y = 6
  2. 4x + 5y = 24

Шаг 1: Умножим первое уравнение на 2, чтобы избавиться от коэффициента 2 перед переменной x:

  1. 2(2x - 5y) = 2 * 6 4x - 10y = 12

Теперь у нас есть система уравнений:

  1. 4x - 10y = 12
  2. 4x + 5y = 24

Шаг 2: Вычтем уравнение 1 из уравнения 2, чтобы избавиться от переменной x:

(4x + 5y) - (4x - 10y) = 24 - 12 4x + 5y - 4x + 10y = 12 15y = 12

Шаг 3: Разделим обе стороны уравнения на 15, чтобы найти значение y:

y = 12 / 15 y = 0.8

Теперь, когда мы знаем значение y, мы можем найти значение x, подставив y в любое из исходных уравнений. Давайте используем первое уравнение:

2x - 5y = 6 2x - 5(0.8) = 6 2x - 4 = 6 2x = 6 + 4 2x = 10

Шаг 4: Разделим обе стороны на 2, чтобы найти значение x:

x = 10 / 2 x = 5

Таким образом, решение системы уравнений методом сложения: x = 5, y = 0.8.

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