Вопрос задан 29.06.2023 в 17:43. Предмет Алгебра. Спрашивает Кутузов Андрей.

Решите систему уравнение графическим способом{3x-y=4{0,5x-y=-1​​

Смотреть ответ пожалуста safiladuman safiladuman Ответ: {3x-y=4 {y=1+0,5x 3x-(1+0,5x)=4 x=2 y=1+0,5×2 y=2 {4=4 {-1=-1 ж:(x,y);(2,2) да канечна что правильно? Новые вопросы в Алгебра пожалуйста решите: log 0.5(2x-3) >1 Решить иррациональное уравнение с параметром Складіть квадратне рівняння, корені якого у 2 разі більті за відповідні корені рівняння 2х2 - 15х + 4 = 0. У відповідь внести добуток коренів складено … го рівняння. СРОЧНО СПАСИТЕ ПОМГИТЕ!!!!!!!​ Спростіть вираз (~a6)3 . (-a7)4 Помогитеее 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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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Давайте сначала решим систему уравнений графическим способом:

Система уравнений:

  1. 3x - y = 4
  2. 0,5x - y = -1

Для решения системы уравнений графическим способом, мы нарисуем графики обоих уравнений и найдем точку их пересечения, которая будет решением системы.

  1. Уравнение 1: 3x - y = 4 Преобразуем его в уравнение вида y = f(x): y = 3x - 4

  2. Уравнение 2: 0,5x - y = -1 Преобразуем его в уравнение вида y = f(x): y = 0,5x + 1

Теперь нарисуем графики обоих уравнений:

График уравнения 1: y = 3x - 4 будет прямой линией с наклоном 3 и сдвигом вниз на 4 единицы от начала координат.

График уравнения 2: y = 0,5x + 1 будет прямой линией с наклоном 0,5 и сдвигом вверх на 1 единицу от начала координат.

Теперь найдем точку их пересечения, которая будет решением системы:

3x - 4 = 0,5x + 1

Выразим x: 3x - 0,5x = 1 + 4 2,5x = 5 x = 5 / 2,5 x = 2

Теперь подставим найденное значение x в любое из уравнений, например, в уравнение 1:

3x - y = 4 3 * 2 - y = 4 6 - y = 4 -y = 4 - 6 -y = -2 y = 2

Таким образом, решение системы уравнений:

  1. 3x - y = 4
  2. 0,5x - y = -1 является (x, y) = (2, 2).

Теперь рассмотрим ваш следующий вопрос:

log 0,5(2x - 3) > 1

Для решения данного неравенства, преобразуем его:

log 0,5(2x - 3) > 1

Используем свойство логарифма: Если log_a(b) > c, то b > a^c. В данном случае a = 0,5 и c = 1.

0,5^(1) = 0,5

Теперь перепишем неравенство:

2x - 3 > 0,5

Добавим 3 к обеим сторонам:

2x > 0,5 + 3 2x > 3,5

Разделим обе стороны на 2:

x > 3,5 / 2 x > 1,75

Таким образом, решением исходного неравенства log 0,5(2x - 3) > 1 является x > 1,75.

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