Вопрос задан 19.07.2023 в 15:22. Предмет Алгебра. Спрашивает Арманова Аня.

Решите систему пж!! Двумя способами способ подстановки и способ сложения!) {2(x+2y)-3(x-y)=5

{4(x+3y)-3y=17 Смотреть ответ nikabagatyr nikabagatyr {2(x+2y)-3(x-y)=5{2х+4у-3х+3у=5 {4(x+3y)-3y=17 {-х+7у=5 4х+12у-3у=17 4х+9у=17 х=7у-5 4(7у-5)+9у=17 28у-20+9у=17 28у+9у=17+20 37у=37 у=1 х=7*1-5 х=2 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 методами подстановки и сложения, первым шагом является запись исходных уравнений:

  1. {2(x+2y) - 3(x-y) = 5
  2. {4(x+3y) - 3y = 17

Способ подстановки: Давайте решим первое уравнение относительно одной из переменных и подставим его во второе уравнение.

Из первого уравнения получаем: 2(x + 2y) - 3(x - y) = 5 2x + 4y - 3x + 3y = 5 -x + 7y = 5 x = 7y - 5

Теперь подставим значение x во второе уравнение: 4(x + 3y) - 3y = 17 4(7y - 5 + 3y) - 3y = 17 4(10y - 5) - 3y = 17 40y - 20 - 3y = 17 37y - 20 = 17 37y = 37 y = 1

Теперь, когда мы нашли значение y, подставим его обратно в одно из уравнений, чтобы найти значение x: x = 7y - 5 x = 7(1) - 5 x = 7 - 5 x = 2

Таким образом, решение системы уравнений методом подстановки: x = 2, y = 1.

Способ сложения: Для решения методом сложения, сначала приведем оба уравнения к форме, где одна из переменных будет иметь одинаковый коэффициент:

  1. 2(x + 2y) - 3(x - y) = 5
  2. 4(x + 3y) - 3y = 17

Распишем их:

  1. 2x + 4y - 3x + 3y = 5
  2. 4x + 12y - 3y = 17

Теперь сложим оба уравнения, чтобы устранить переменную y:

(2x + 4y - 3x + 3y) + (4x + 12y - 3y) = 5 + 17

Упростим:

-x + 7y = 22

Теперь решим уравнение относительно y:

7y = x + 22 y = (x + 22) / 7

Теперь подставим значение y обратно в уравнение (1):

2x + 4y - 3x + 3y = 5 2x + 4((x + 22) / 7) - 3x + 3((x + 22) / 7) = 5

Упростим и решим уравнение относительно x:

2x + (4/7)x + (88/7) - 3x + (3/7)x + (66/7) = 5 2x - 3x + (4/7)x + (3/7)x = 5 - (88/7) - (66/7) (6/7)x = (35/7) - (154/7) (6/7)x = -119/7 x = (-119/7) * (7/6) x = -17

Теперь, когда мы нашли значение x, подставим его обратно в уравнение для нахождения y:

y = (x + 22) / 7 y = (-17 + 22) / 7 y = 5 / 7

Таким образом, решение системы уравнений методом сложения: x = -17, y = 5/7 (или около 0.71).

Оба метода привели к одному и тому же результату, только значения немного округлены в случае способа сложения. Ответ: x = 2, y = 1 (или x = -17, y = 0.71).

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