Вопрос задан 18.07.2023 в 15:46. Предмет Алгебра. Спрашивает Микаленус Евгений.

{5(x-y)=4y x+4y= 181 решение

Смотреть ответ tmr17 tmr17 Ответ:{5(x - y)=4y             x+4y=181 {5x-5y=4y x+4y=181 {5x-5y-4y=0 x+4y=181 {5x-9y=0 x+4y=181 Объяснение: Новые вопросы в Алгебра 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 ЗРОБИТИ 1 ТА 2 У ДРУГОМУ ЗАВДАННІ У трикутнику АВС проведено висоту АН і бісектрису АМ. Знайдіть кут НАМ, якщо кутBAC 28°, кутABC 76°.​ Два зовнішніх кути трикутника дорівнюють 151° і 143°.Знайдіть третій зовнішній кут трикутника.​ 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 системы уравнений, мы можем использовать метод подстановки или метод сложения/вычитания. Давайте воспользуемся методом сложения/вычитания.

Данная система уравнений:

  1. 5(x - y) = 4y
  2. x + 4y = 181

Для начала давайте избавимся от одной переменной, чтобы получить значение другой. Для этого домножим первое уравнение на -1 и затем сложим его со вторым уравнением:

-5(x - y) + (x + 4y) = -4y + 181

Раскроем скобки:

-5x + 5y + x + 4y = -4y + 181

Теперь сгруппируем одинаковые переменные:

-5x + x + 5y + 4y = -4y + 181

-4x + 9y = 181

Теперь выразим одну из переменных из одного уравнения и подставим её в другое уравнение. Давайте выразим x из уравнения -4x + 9y = 181:

-4x = 181 - 9y

x = (181 - 9y) / -4

Теперь подставим это выражение для x во второе уравнение:

(181 - 9y) / -4 + 4y = 181

Теперь решим уравнение относительно y:

(181 - 9y) / -4 + 4y = 181

Далее умножим все члены уравнения на -4, чтобы избавиться от знаменателя:

181 - 9y - 16y = -724

-25y = -905

y = -905 / -25

y = 36.2

Теперь, когда у нас есть значение y, подставим его в выражение для x:

x = (181 - 9y) / -4 x = (181 - 9 * 36.2) / -4 x = (181 - 325.8) / -4 x = -144.8 / -4 x = 36.2

Таким образом, решение системы уравнений составляет x = 36.2 и y = 36.2. Обратите внимание, что x и y имеют одинаковое значение, что подтверждает правильность решения.

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