Question

Реши систему уравнений способом алгебраического сложения. {2x+y=1 6x−y=2ПОЖАЛУЙСТА!!! ПОМОГИТЕ!!! ДАМ 70 БАЛЛОВ!!!​ Смотреть ответ Пеппер Пеппер Ответ: (3/8;  1/4) Объяснение: {2x+y=1 6x−y=2 8х  =  3;  х=3/8 Подставляем значение х в первое уравнение у=1-2х;   у=1 - (3*2/8) = 1/4 помогите пожалуйста умоляю Новые вопросы в Алгебра допоможіть с цими функціями будь ласка ​ Розв'яжіть систему рівнянь способом додавання. { 5x+6y=215, 7x+3y=166; розв'яжіть систему рівнянь способом підстановки. { x-y=2, 3x-2y=9; 5. За умовою задачі складіть вираз зі змінними.Микола купив м ручок по 12 грн і 14 зошитів по л грн, заплативши за зошити більше, ніж за ручки. На скі … льки більше заплатив хлопчик за зошити, ніж за ручки? Обчисліть значення отриманого виразу при м=7, п=8.6. За умовою задачі складіть вираз зі змінною.Майстер щогодини виготовляв а деталей, а його учень на 7 деталей менше. Скільки деталей вони виготовили разом, якщо майстер працював 6 год, а учень- 4 год?​ Розв'яжіть систему рівнянь графічно { 5x+4y=8, -2x+3y=7; 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 первую систему уравнений:

1. 5x + 6y = 215
2. 7x + 3y = 166

Для решения методом алгебраического сложения вы можете умножить одно из уравнений на такое число, чтобы коэффициент при одной из переменных сделать одинаковым, а затем сложить оба уравнения. Давайте умножим второе уравнение на 2, чтобы сделать коэффициент при y равным 6:

1. 5x + 6y = 215
2. (2 * (7x + 3y)) = (2 * 166), что дает 14x + 6y = 332

Теперь мы можем сложить оба уравнения:

(5x + 6y) + (14x + 6y) = 215 + 332

Теперь объединим подобные члены слева:

(5x + 14x) + (6y + 6y) = 215 + 332

19x + 12y = 547

Теперь у нас есть новое уравнение:

3. 19x + 12y = 547

Теперь у нас есть система из двух уравнений:

1. 5x + 6y = 215
2. 19x + 12y = 547

Теперь мы можем решить эту систему методом алгебраического сложения. Давайте выразим одну из переменных из одного уравнения и подставим в другое. Давайте решим, например, первое уравнение относительно x:

5x = 215 - 6y

Теперь подставим это значение x во второе уравнение:

19(215 - 6y) + 12y = 547

Раскроем скобки:

4085 - 114y + 12y = 547

Теперь объединим подобные члены:

-102y = 547 - 4085

-102y = -3538

Теперь разделим обе стороны на -102, чтобы найти y:

y = -3538 / -102 y = 1739 / 51 y = 34

Теперь, когда мы знаем значение y, мы можем найти x, используя одно из исходных уравнений. Давайте используем первое уравнение:

5x + 6(34) = 215

Решим уравнение для x:

5x + 204 = 215

5x = 215 - 204

5x = 11

Теперь разделим обе стороны на 5, чтобы найти x:

x = 11 / 5 x = 2.2

Итак, решение системы уравнений:

x = 2.2 y = 34

Проверим, подставив эти значения обратно в исходные уравнения, чтобы убедиться, что они верны.