Question

{2(3x+2y)+9=4x+21 {2x+10=3-(6x+5y)​ Смотреть ответ naromash naromash Ответ: х=-4 у=5 Пошаговое объяснение: {2(3x+2y)+9=4x+21 {2x+10=3-(6x+5y) Первый Способ. С помощью подстановки переменных. Выразим х через у. раскрываем скобки {2x+4y-12=0 {8x+5y+7=0 делим первое уравнение на 2 {x+2y-6=0 {8x+5y+7=0 {x=6-2y {8x+5y+7=0 8(6-2y)+5y+7=0 48-16y+5y+7=0 11y=55 y=5 x=-4 Способ Второй. С помощью Сложения или вычитания уравнений. {x+2y-6=0 {8x+5y+7=0 Домножим обе части ПЕРВОГО уравнения на 8. {8x+16y-48=0 {8x+5y+7=0 Теперь Вычтем из верхнего уравнения нижнее. 11у-55=0 у=5 Подставим вместо у число 5 в первое уравнение и получаем х. х=-4 Новые вопросы в Математика периметр трикутника дорівнює 31 см одна його сторона дорівнює 15 см, друга-y см. Складіть вираз для знаходження третьої сторони і обчисліть її значенн … я, якщо y=12. Помогите пожалуйста​ Розв'яжи рівняння. 95:x=5 Дискретная математика. На ленте машины Тьюринга в четырех подряд идущих клетках записаны четыре различные буквы: A,B,C,D в произвольном порядке. Постр … оить машину Тьюринга, меняющую местами первую и последнюю буквы. Начальное положение – стандартное. Без бота,с пояснениям как вышло1)Данo: Следующий определенный интеграл с помощью Тейлора должен быть вычислен с точностью 0,0012)в интервале (- π;π) ф … ункция f (x) = ax + b должна быть классифицирована как ряд Фурье.a=-4;b=-3Даю 20 баллов ​ помогите пожалуйста решить уровнение 3*x+32=5*10 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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\u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u0446\u0438\u0440\u043e\u0432\u0430\u043d\u0430 \u043a\u0430\u043a \u0440\u044f\u0434 \u0424\u0443\u0440\u044c\u0435.a=-4;b=-3\u0414\u0430\u044e 20 \u0431\u0430\u043b\u043b\u043e\u0432 \u200b"},{"id":53167697,"content":" \u043f\u043e\u043c\u043e\u0433\u0438\u0442\u0435 \u043f\u043e\u0436\u0430\u043b\u0443\u0439\u0441\u0442\u0430 \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u0440\u043e\u0432\u043d\u0435\u043d\u0438\u0435 \n 3*x+32=5*10"}] window.jsData.nearestQuestions = { next: { url: '/task/45007623', id: '45007623' }, prev: { url: '/task/45007616', id: '45007616' } } window.jsData.userLocationInfo = 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Answer 1

Давайте проверим ваши вычисления.

У вас есть система уравнений:

1. 2(3x + 2y) + 9 = 4x + 21
2. 2x + 10 = 3 - (6x + 5y)

Первое уравнение:

2(3x + 2y) + 9 = 4x + 21

Умножим 2 на каждый член в скобках:

6x + 4y + 9 = 4x + 21

Теперь выразим x через y, перенося все члены с x на одну сторону:

6x - 4x + 4y - 9 = 21

2x + 4y - 9 = 21

2x + 4y = 21 + 9

2x + 4y = 30

Теперь второе уравнение:

2x + 10 = 3 - (6x + 5y)

Распишем скобку справа:

2x + 10 = 3 - 6x - 5y

Теперь, сложим 6x с обеих сторон:

2x + 6x + 10 = 3 - 5y

8x + 10 = 3 - 5y

Теперь выразим 5y, перенося все члены с 5y на одну сторону:

8x + 10 + 5y = 3

8x + 5y + 10 = 3

8x + 5y = 3 - 10

8x + 5y = -7

Таким образом, у вас два уравнения:

1. 2x + 4y = 30
2. 8x + 5y = -7

Давайте решим эту систему уравнений. Для этого можно использовать метод умножения и вычитания. Умножим первое уравнение на 2, чтобы избавиться от коэффициента 2 перед x:

1. (2x + 4y = 30) * 2 => 4x + 8y = 60

Теперь вычтем второе уравнение из первого:

(4x + 8y) - (8x + 5y) = 60 - (-7)

Упростим:

4x + 8y - 8x - 5y = 60 + 7

-4x + 3y = 67

Теперь выразим x через y:

-4x = 67 - 3y

4x = -67 + 3y

x = (-67 + 3y)/4

x = (-67/4) + (3/4)y

Таким образом, ваша система уравнений имеет более сложное решение, чем x = -4 и y = 5. Вычисления выше показывают, что x и y зависят друг от друга согласно уравнению x = (-67/4) + (3/4)y.