Вопрос задан 17.06.2023 в 16:51. Предмет Алгебра. Спрашивает Князева Кристина.

Реши систему уравнений способом алгебраического сложения. {2х+у=1 {2х−у=6 Ответ: (;). Ответить!

Смотреть ответ Fire1ce Fire1ce {2х+у=1 {2х−у=6 Решаем путём сложения: 2х+2х+у+(-у) = 1+6 4х = 7 х=7/4 х=1,75 Подставим значение х в одно из уравнений, вычеслим у: 2×1,75 + у = 1 3,5+у = 1 у= 1-3,5 у=-2,5 Ответ: (1,75; -2,5). )) Спасибо) И сново очень выручаете)) Новые вопросы в Алгебра Розв’язати рівняння СРОЧНО!!!!!!!!!!!!!!!!!!!!!! пжпжпжпжпж Як називається тема в алгебрі у 9 класі з координатами й рівнянням Найдите сумму первых шести членов арифметической прогрессии, если a2+а4=16 и а1*а5=28​ a)2x-y=2, 3x-y=5; б) x+y=4, x-y=2. Графічною системою запишіть у стандартному вигляді одночлен 2а³b⁴•(-3a²b³)²​ 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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Решение системы уравнений способом алгебраического сложения

Перед тем как решать систему уравнений, давайте перепишем ее в более удобном виде:

Уравнение 1: 2x + у = 1 Уравнение 2: 2x - у = 6

Чтобы решить систему уравнений методом алгебраического сложения, мы суммируем оба уравнения так, чтобы одна из переменных исчезла. В данном случае, мы можем сложить уравнение 1 и уравнение 2:

(2x + у) + (2x - у) = 1 + 6

После упрощения получим:

4x = 7

Теперь можем решить полученное уравнение относительно переменной x:

x = 7/4

Таким образом, мы нашли значение x.

Далее, чтобы найти значение y, мы можем подставить найденное значение x в одно из исходных уравнений и решить его:

2 * (7/4) + y = 1

Упрощая, получим:

14/4 + y = 1 y = 1 - 14/4 y = -2.5

Теперь у нас есть значения обеих переменных: x = 7/4 и y = -2.5.

Ответ на данную систему уравнений: (7/4, -2.5).

Название темы в алгебре для 9 класса с координатами и уравнениями

Тема в алгебре для 9 класса, связанная с координатами и уравнениями, обычно называется "Координатная плоскость и аналитическая геометрия". Эта тема изучает способы представления и анализа геометрических фигур и их свойств с использованием координатной системы.

Нахождение суммы первых шести членов арифметической прогрессии

Для нахождения суммы первых шести членов арифметической прогрессии, нам необходимо знать значения двух членов этой прогрессии: a2 и a4, а также произведение первого и пятого членов a1 * a5.

Известно, что a2 + a4 = 16 и a1 * a5 = 28.

Чтобы найти сумму первых шести членов прогрессии, мы можем использовать формулу для суммы n членов арифметической прогрессии:

S = (n/2) * (a1 + an)

где S - сумма первых n членов, a1 - первый член, an - n-й член.

В данном случае, нам известно, что первый член a1 и пятый член a5, а также их произведение a1 * a5.

Чтобы найти сумму первых шести членов, нам нужно найти шестой член a6. Для этого мы можем использовать формулу для общего члена арифметической прогрессии:

an = a1 + (n-1) * d

где an - n-й член, a1 - первый член, d - разность между соседними членами.

Таким образом, мы можем найти разность d, используя известные значения a2 и a4:

a4 = a2 + 2d 16 = a2 + 2d

Также, мы можем найти значение a6, используя найденную разность:

a6 = a1 + 5d

Теперь, мы можем использовать найденные значения a1, a6 и разность d, чтобы вычислить сумму первых шести членов прогрессии с помощью формулы:

S = (6/2) * (a1 + a6)

Таким образом, мы можем найти сумму первых шести членов арифметической прогрессии.

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