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Реши систему уравнений:{x+y=0 x+2y=2 ПОЖАЛУЙСТА ПОМОГИТЕ СРОЧНО НУЖНО!!!!!!! Смотреть ответ sangers1959 sangers1959 Объяснение: Ответ: (-2;2). подобрать значение k при котором данная система не имеет решений Что нужно найти? можешь решить {y=3x-5 y=kx+4 Новые вопросы в Алгебра Розв’язати систему рівнянь зручним способом: 3x+2y=8, 2x+y=-3 У відповідь записати суму значень абсциси і ординати розв'язка системи ПОМОГИТЕ ПОЖАЛУЙСТА ЛЮЮЮЮДИИИ 4a+4=4 (a+4). знайдіть і виправте помилку в рівностях​ допоможіть будь ласка даю 20 балів!!!!! Найдите значение b 3b+2/16=8 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

Давайте начнем с решения системы уравнений:

1. x + y = 0
2. x + 2y = 2

Для этого мы можем воспользоваться методом вычитания, чтобы убрать переменную x:

Вычитаем уравнение (1) из уравнения (2):

(x + 2y) - (x + y) = 2 - 0

Упрощаем:

x + 2y - x - y = 2

y = 2

Теперь, когда мы знаем, что y = 2, мы можем найти значение x, подставив его в уравнение (1):

x + 2 = 0

Вычитаем 2 с обеих сторон:

x = -2

Таким образом, решение системы уравнений {x + y = 0, x + 2y = 2} равно x = -2 и y = 2.

Чтобы найти значение k, при котором система {y = 3x - 5, y = kx + 4} не имеет решений, обратите внимание, что оба уравнения выражают y в терминах x. Это означает, что оба уравнения представляют собой прямые на графике. Система не имеет решений, если эти две прямые параллельны, то есть имеют одинаковый наклон (коэффициент k).

Сравним коэффициенты k в обоих уравнениях:

1. В уравнении y = 3x - 5, k = 3.
2. В уравнении y = kx + 4, k = k.

Система не имеет решений, когда k в обоих уравнениях одинаково. Поэтому, чтобы система не имела решений, k должно быть равно 3 (как в первом уравнении). Таким образом, k = 3.

Для решения системы уравнений 3x + 2y = 8 и 2x + y = -3, мы можем воспользоваться методом вычитания или сложения. Давайте воспользуемся методом вычитания:

1. 3x + 2y = 8
2. 2x + y = -3

Умножим второе уравнение на 2, чтобы сделать коэффициенты x в обоих уравнениях одинаковыми:

1. 3x + 2y = 8
2. 4x + 2y = -6

Теперь вычтем уравнение (2) из уравнения (1):

(3x + 2y) - (4x + 2y) = 8 - (-6)

Упростим:

3x + 2y - 4x - 2y = 8 + 6

-x = 14

Теперь умножим обе стороны на -1, чтобы избавиться от минуса:

x = -14

Теперь, чтобы найти значение y, подставим x в одно из исходных уравнений, например, в уравнение (2):

2x + y = -3 2(-14) + y = -3 -28 + y = -3

Теперь добавим 28 к обеим сторонам:

y = -3 + 28 y = 25

Таким образом, решение системы уравнений {3x + 2y = 8, 2x + y = -3} равно x = -14 и y = 25.