Вопрос задан 23.09.2023 в 23:23. Предмет Алгебра. Спрашивает Сайко Данил.

{5х+3у=15 {2х-4у=19 ..

Смотреть ответ ildar502020 ildar502020 Ответ:  (4.5;-2.5) Объяснение: {5х+3у=15               [*4] {2х-4у=19                 [*3] ---------------- 20x+12y=60; 6x-12y=57; Складываем 20x+6x = 60+57; 26x = 117; x=4.5 => подставим в 2х-4у=19 => 2*4.5 - 4y=19; -4y=19-9; y= -10/4 = -2.5. Новые вопросы в Алгебра одна година залишиласб, допоможіть будь ласка!!! помогите фастом, времени у меня мало, всего до 0:00, даю 20 балов​ За 6 ручок і 4 олівці заплатили 34 грн. Скільки коштує одна ручка  і скільки один олівець, якщо 3 ручки дорожчі за 2 олівці на 7 грн?написати систему … розв'язань ​ СРОЧНО ПОМОГИТЕ, ПОЖАЛУЙСТА, АЛГЕБРА приведите подобные слагаемые 5а-3b-4a+6bварианты ответов:1)2a+2b 2)a+3b3)9a+9b 4)a-3bпожалуйста с разъяснение!!!!! 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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Давайте рассмотрим ваши вопросы по очереди.

  1. Решение системы уравнений: Вы правильно нашли решение системы уравнений:

    • 5x + 3y = 15
    • 2x - 4y = 19

    Решение: (x = 4.5, y = -2.5)

    Ваши вычисления верны.

  2. Задача с ручками и оливцами: Давайте обозначим стоимость одной ручки как "р" и стоимость одного оливца как "о". Из условия задачи у нас есть два уравнения:

    • 6р + 4о = 34 (из условия "За 6 ручек і 4 олівці заплатили 34 грн").
    • 3р - 2о = 7 (из условия "3 ручки дорожчі за 2 олівці на 7 грн").

    Мы можем решить эту систему уравнений методом подстановки или методом сложения/вычитания. Давайте используем метод сложения:

    Умножим второе уравнение на 2, чтобы избавиться от дробей:

    • 6р + 4о = 34
    • 6р - 4о = 14

    Теперь сложим оба уравнения: (6р + 4о) + (6р - 4о) = 34 + 14

    Сложив, получим: 12р = 48

    Разделим обе стороны на 12: р = 48 / 12 р = 4

    Теперь, когда мы знаем стоимость одной ручки, мы можем найти стоимость одного оливца, используя второе уравнение: 3р - 2о = 7 3*4 - 2о = 7 12 - 2о = 7

    Выразим "о" из этого уравнения: -2о = 7 - 12 -2о = -5

    Разделим обе стороны на -2: о = -5 / -2 о = 5/2

    Итак, стоимость одной ручки (р) равна 4 грн, а стоимость одного оливца (о) равна 2.5 грн.

  3. Поиск подобных слагаемых: У вас дано выражение: 5а - 3b - 4а + 6b. Для нахождения подобных слагаемых сгруппируйте их:

    (5а - 4а) + (-3b + 6b)

    Теперь выполните вычисления в каждой из групп: 5а - 4а = а -3b + 6b = 3b

    Итак, после группировки подобных слагаемых вы получите: а + 3b.

    Правильный ответ: a + 3b.

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