Question

{5x+7y=-3,8x-y=-17 решить систему ​ Посмотреть ответы ProstoResheba ProstoResheba Ответ: x=-2 y=1 Пошаговое решение: 5х+7у=-3 8х-у=-17 5х+7у=-3 5х=-7у=-3 5х=-7у-3 5х-7у-3 5х/5=-7у-3/5 х=-7у/5-3/5 8х-у=-17 -у+8(-7у/5-3/5)=-17 -61у/5-24/5=-17 х=-7у/5-3/5 х=-7/5-3/5 => х=-2 (-1)61/5у/-61/5=-61/(-61/5)5 => у=1 / -дробь ок мне нужно с решением(( s7e7v7e7n77777777 s7e7v7e7n77777777 Ответ: Відповідь: (2; -1). Пошаговое объяснение: {5x  +7y = 3,/ *(-8) /      {-40x - 56y = -24    1)  - 61y = 61;   y = -1;   {8х - у = 17;  / *5 /        {40x - 5y = 85        2) 40х - 5 * (-1) = 85;                                                                                     40х = 80;                                                                х = 80/40;                                                                х = 2. Відповідь: (2; -1). ты читать умеешь? я говорю про у Дружище, вообще-то х у меня равен -2 )) -1 Ошибка у тебя. Ты написал у=1, а у=-1. Новые вопросы в Математика 3 одного міста в протилежних напрямах одно­часно виїхали два автомобілі. Швидкість першого автомобіля становить 72 км/год, що складає 0,9 від швидкост … і іншої. Через скільки годин відстань між автівками становитиме 380 км? 2) (5 1/6 - 4 8/15) × (-15/19)​ помогите пж даю 30 лопдшнп пж решите пример- 11 3 6 ----- - --- + --- 21 4 7 знайдіть значення виразу 4 5/6-(5 3/8 - a) якщо a= -2 1/4 помогите пожалуйста ​ 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 рассмотрим систему уравнений и решим её шаг за шагом:

Система уравнений:

1. 5x + 7y = -3
2. 8x - y = -17

Давайте начнем с метода умножения второго уравнения на -1, чтобы избавиться от отрицательного коэффициента y:

Умножим второе уравнение на -1: -1 * (8x - y) = -1 * (-17) -8x + y = 17

Теперь мы имеем следующую систему уравнений:

1. 5x + 7y = -3
2. -8x + y = 17

Теперь сложим оба уравнения, чтобы избавиться от переменной y:

(5x + 7y) + (-8x + y) = (-3 + 17)

Теперь произведем вычисления:

5x + 7y - 8x + y = 14

Теперь объединим переменные x и y:

(5x - 8x) + (7y + y) = 14 -3x + 8y = 14

Теперь мы имеем одно уравнение с одной переменной:

-3x + 8y = 14

Теперь выразим x относительно y:

-3x = 14 - 8y

Теперь разделим обе стороны на -3:

x = (14 - 8y) / -3

Теперь мы можем использовать это выражение для x и подставить его в любое из исходных уравнений, например, в первое:

5x + 7y = -3 5[(14 - 8y) / -3] + 7y = -3

Упростим это уравнение:

(14 - 8y) / -3 + 7y = -3

Теперь умножим обе стороны на -3, чтобы избавиться от дробей:

14 - 8y - 21y = 9

Теперь сложим переменные y:

14 - 29y = 9

Теперь выразим y относительно числа:

-29y = 9 - 14 -29y = -5

Теперь разделим обе стороны на -29:

y = (-5) / (-29) y = 5 / 29

Теперь у нас есть значения x и y:

x = (14 - 8y) / -3 x = (14 - 8(5/29)) / -3 x = (14 - 40/29) / -3 x = (406/29 - 40/29) / -3 x = (366/29) / -3 x = (366/29) * (-1/3) x = -122/87 x = -2/3

Итак, решение системы уравнений:

x = -2/3 y = 5/29

Верное решение системы уравнений: x = -2/3, y = 5/29.