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Найдите решение системы уравнений способом сложения: 1) {7x+2y=9 {5x+2y=11 2) {9x-2y=-17 {x-2y=7 Смотреть ответ армения20171 армения20171 {7х+2у=9 {5х+2у=11 ____________ 2х=-2 ;х=-1 у=(9-7х)/2=(9+7)/2=8 ответ (-1;8) 2){9х-2у=-17 {х-2у=7 ----------------- 8х=-24;х=-3 х-2у=7;-2у=7+3;-2у=10;у=-5 ответ (-3;-5) Новые вопросы в Математика 120÷(30-18)+4×8-18÷(5-2)​ Найдите остаток от деления 32467^7777 на 7. Помогите пожалуйста. пожалуйста мне срочно нужно решить!!!! даю 30 баллов!!!!!​ Раскройте скобки и найдите значение выражения Раскройте скобки и найдите значение выражения 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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Answer 1

Для решения системы уравнений методом сложения нужно сложить оба уравнения так, чтобы одна из переменных ушла, и потом решить получившееся уравнение.

1. {7x + 2y = 9 {5x + 2y = 11

Мы видим, что коэффициенты при y в обоих уравнениях равны, поэтому можно сложить уравнения почленно:

(7x + 2y) + (5x + 2y) = 9 + 11

Теперь выполняем операции:

12x + 4y = 20

Теперь у нас есть одно уравнение с двумя переменными.

2. {9x - 2y = -17 {x - 2y = 7

Мы видим, что коэффициенты при y в обоих уравнениях также равны, поэтому сложим уравнения почленно:

(9x - 2y) + (x - 2y) = -17 + 7

Теперь выполняем операции:

10x - 4y = -10

Теперь у нас есть еще одно уравнение с двумя переменными.

Теперь у нас есть система уравнений:

1. 12x + 4y = 20
2. 10x - 4y = -10

Мы видим, что у обоих уравнений коэффициенты при y равны, но с противоположным знаком. Мы можем избавиться от y, сложив оба уравнения почленно:

(12x + 4y) + (10x - 4y) = 20 - 10

Теперь выполняем операции:

22x = 10

Теперь решим уравнение относительно x:

x = 10 / 22 x = 5 / 11

Теперь, чтобы найти значение y, подставим значение x в любое из исходных уравнений. Для примера, используем первое:

7x + 2y = 9 7 * (5 / 11) + 2y = 9 35 / 11 + 2y = 9 2y = 9 - 35 / 11 2y = (99 - 35) / 11 2y = 64 / 11 y = 32 / 11

Таким образом, решение системы уравнений методом сложения:

x = 5 / 11 y = 32 / 11

Ответ: (5/11, 32/11) или около (0.4545, 2.9091).

Пожалуйста, обратите внимание, что я округлил значения для удобства, но точное решение представлено в виде дробей.