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Решите систему уравнений: {2х+3у=510 {3х+5у=790 Смотреть ответ nupellot nupellot {2х+3у=510   {3х+5у=790 Выразим x через y из первого уравнения: x=(510-3y)/2 Подставим во второе уравнение: 3((510-3y)/2)+5y=790 3(255-1,5y)+5y=790 765-4,5y+5y=790 0,5y=25 y=50 x=(510-3*50)/2=180 Новые вопросы в Математика У чому різниця у залежності прямої та оберненої пропорційністю? Решите задачу и прокомментируйте свои действия: Используя взаимосвязь индексов, определите, на сколько процентов увеличились цены, если известно, что … товарооборот в фактических ценах возрос на 10%, а количество проданных товаров снизилось на 30%.​ 10. Делимое увеличили в 12 раз. Как надо изменить делитель, чтобы частное увеличилось в 4 раза? 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Answer 1

Для решения системы уравнений: {2x + 3y = 510 {3x + 5y = 790

Мы можем воспользоваться методом подстановки или методом сложения/вычитания уравнений. Давайте воспользуемся методом подстановки.

1. Выразим x через y из первого уравнения: 2x + 3y = 510 2x = 510 - 3y x = (510 - 3y) / 2

2. Подставим полученное выражение для x во второе уравнение: 3x + 5y = 790 3((510 - 3y) / 2) + 5y = 790 Упростим уравнение: 3(255 - 1.5y) + 5y = 790 765 - 4.5y + 5y = 790 0.5y = 25 y = 50

3. Теперь найдем значение x, подставив найденное значение y в одно из исходных уравнений (например, первое уравнение): 2x + 3y = 510 2x + 3 * 50 = 510 2x + 150 = 510 2x = 510 - 150 2x = 360 x = 360 / 2 x = 180

Таким образом, решение системы уравнений: x = 180 и y = 50.

Теперь ответы на ваши другие вопросы:

1. Разница между прямой и обратной пропорциональностью заключается в том, как меняются две величины при изменении друг друга. В прямой пропорции, когда одна величина увеличивается, другая также увеличивается, и наоборот, при уменьшении одной величины, уменьшается и другая. В обратной пропорции, когда одна величина увеличивается, другая уменьшается, и наоборот, при увеличении одной величины, уменьшается другая.

2. Задача о процентном изменении цен: Если товарооборот в фактических ценах возрос на 10%, а количество проданных товаров снизилось на 30%, то для определения общего процентного изменения цен используется следующий подход:

Пусть P - общий процент изменения цен. Тогда для данной задачи применим следующее уравнение: P = Прирост товарооборота в фактических ценах - Уменьшение количества проданных товаров P = 10% - (-30%) = 10% + 30% = 40%

Таким образом, цены увеличились на 40%.

3. Задача о делении: Если делимое увеличили в 12 раз, чтобы частное увеличилось в 4 раза, то нужно увеличить делитель в 3 раза (вариант В). Обратите внимание, что увеличение делителя приведет к уменьшению частного, чтобы сохранить равенство. В данном случае, чтобы частное увеличилось в 4 раза, нужно уменьшить его в 4 раза, что соответствует увеличению делителя в 3 раза.

4. Задача о сравнении времени: Для сравнения времени, за которое пробегают марафон два спортсмена, нужны дополнительные данные, такие как скорости бегуна и ковзаняра. Без этой информации невозможно определить, кто из них быстрее преодолел марафонскую дистанцию.

Надеюсь, это поможет вам разобраться с задачами! Если у вас есть еще вопросы, не стесняйтесь задать.