Question

Выясните, Имеет ли решение система {3x -2y=7 {6x-4y=1 (Пожалуйста, присылайте ответы с доказательством) Посмотреть ответы нет, если первое уравнение умножить на 2… то 14 не равно 1 Nullpo201 Nullpo201 Уравнение 3x - 2y = 7 умножаем на два, получая 6x - 4y = 14. 6x - 4y = 6x - 4y. Так должно было быть, но одинаковые выражения имеют разные значения, поэтому система не имеет решений TheLightFox TheLightFox {3x -2y=7   (умножым на -2) {6x-4y=1 -------- {-6х+4у=-14 {6х-4у=1 --------- Получается, что х и у пропадают. Значит, система решений не имеет. Новые вопросы в Алгебра дослідити функцію за допомогою похідної та побудувати її графік y=х³-2х²-х письмово будь ласка(в тетраді, графік, точки екстремума, рішення) ​ 1) -1/4 * (4*(-5/7)) = 2) (-4/5) * 2/3 * (-5/4) = 3) 2 1/3 * (-7/9) * 9/7 = 4) (-8/9) * 2 4/17 * (-9/8) = помогите пжш((((((,, Чо у дорiвнюе найменше спiльне кратне 12 FT // PR угол RFT = 30 градусам Найти угол SFT и угол RFP FT // PR угол RFT = 30 градусам Найти угол SFT и угол RFP 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

Да, вы правы. Давайте подробнее рассмотрим решение системы уравнений:

Исходная система уравнений:

1. 3x - 2y = 7
2. 6x - 4y = 1

Для проверки на совместность или несовместность системы, давайте попробуем умножить первое уравнение на 2:

Умножаем первое уравнение на 2:

2 * (3x - 2y) = 2 * 7 6x - 4y = 14

Теперь мы имеем следующую систему уравнений:

1. 6x - 4y = 14
2. 6x - 4y = 1

Обратите внимание, что оба уравнения имеют одинаковые коэффициенты при x и y. Однако, обратите также внимание, что правые части уравнений различаются (14 и 1). Это означает, что два уравнения представляют собой параллельные прямые в координатной плоскости.

Так как две параллельные прямые никогда не пересекаются, данная система уравнений не имеет решений. Геометрически это будет представлять собой две параллельные прямые, и они никогда не пересекутся, так как их наклоны одинаковы, но они имеют разные значения y-координаты (разные правые части уравнений).

Таким образом, система уравнений {3x - 2y = 7, 6x - 4y = 1} не имеет решений.