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{6х-5у=2{4х-2у=10Решите методом сложения. ПОМОГИТЕ​ Посмотреть ответы Iralyev Iralyev Ответ: То что в кружке, это надо умножить на столько этот ряд Пеппер Пеппер Ответ: (5,75;  6,5) Пошаговое объяснение: {6х-5у=2 {4х-2у=10;  2х-у=5 6х-5у=2 2х-у=5 (умножим на -5)  6х-5у=2 -10х+5у=-25  4х   =   23;   х=5,75 11,5-у=5;        у=6,5 толку нету спустя 5 часов отвечать Новые вопросы в Математика зведіть до найменшого спільного знаменника дроби 1/9 1/4 1/6 допомажітьь ,даю всі балии​ допоможііть,даю всі балиии​ допоможжіть,будь ласка,срооочно даю всі бали​ допоможіть, срочноооо, даю всі бали​ 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 вашу систему уравнений:

1. 6x - 5y = 2
2. 4x - 2y = 10

Метод сложения предполагает, что мы складываем уравнения, чтобы устранить одну из переменных. Давайте умножим второе уравнение на 2, чтобы избавиться от дробей:

1. 6x - 5y = 2
2. 8x - 4y = 20

Теперь у нас есть система:

1. 6x - 5y = 2
2. 8x - 4y = 20

Теперь мы можем сложить оба уравнения, чтобы устранить переменную y:

(6x - 5y) + (8x - 4y) = 2 + 20

Складываем термины слева и числа справа:

6x + 8x - 5y - 4y = 22

14x - 9y = 22

Теперь у нас есть новое уравнение:

14x - 9y = 22

Теперь мы можем решить это уравнение относительно одной из переменных. Давайте решим его относительно x:

14x = 22 + 9y

x = (22 + 9y) / 14

Теперь у нас есть выражение для x. Если мы найдем значение y, мы сможем найти значение x. Давайте решим уравнение (2х-у=5), чтобы найти y:

2x - y = 5

y = 2x - 5

Теперь мы можем подставить это выражение для y в наше выражение для x:

x = (22 + 9(2x - 5)) / 14

Теперь решим это уравнение относительно x:

x = (22 + 18x - 45) / 14

Умножим обе стороны на 14, чтобы избавиться от дроби:

14x = 22 + 18x - 45

Переносим 18x на левую сторону:

14x - 18x = 22 - 45

-4x = -23

Теперь делим обе стороны на -4, чтобы найти x:

x = (-23) / (-4)

x = 23/4

x = 5.75

Теперь у нас есть значение x. Теперь мы можем использовать это значение, чтобы найти y, используя одно из начальных уравнений. Давайте воспользуемся первым уравнением:

6x - 5y = 2

Подставим x = 5.75:

6(5.75) - 5y = 2

34.5 - 5y = 2

Теперь выразим y:

-5y = 2 - 34.5

-5y = -32.5

y = (-32.5) / (-5)

y = 6.5

Итак, решение вашей системы уравнений:

x = 5.75 y = 6.5

Ответ: (5.75, 6.5)