Question

Составь систему для решения задачи. Для школы приобрели футбольные и теннисные мячи, причём теннисных в 4 раз больше, чем футбольных.Через 5 лет приобрели новую партию мячей, причём футбольных стало в 6 раз больше, чем было,а теннисных — в 4 раза больше, чем было. Всего мячей стало 44.Сколько закупили мячей сначала?Пусть y футбольных мячей и x теннисных мячей закупили сначала.(Выбери все подходящие математические модели для решения задачи.){x−y=46y+4x=44{xy=4(6y+4x)+(x+y)=44{xy=46y+4x=44{x=4y6y+4x=44Другой ответ{x−y=4(6y+4x)+(x+y)=44 Смотреть ответ Robloxia255 Robloxia255 Ответ: {x=4y                   6y+4x=44;   {xy=4 6y+4x=44 Объяснение: y - футбольных, x - теннисных, x : y = 4;  x = 4y 6y + 4x = 44 6y + 16y  = 44 22y = 44 y = 2 (мяча);  x = 8 (мячей) Новые вопросы в Алгебра Пж нужна помощь!!!!! Помогитееееееее!!!!!!! Помогите пжжжжжж!!!!!!! Сколько из чисел 14;46;51;64;76;29;31;155;207;77 простыми числами? 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Answer 1

Для решения задачи, давайте представим математическую модель:

Пусть y - количество футбольных мячей, x - количество теннисных мячей, которые закупили сначала.

Условия задачи:

1. "Теннисных мячей в 4 раза больше, чем футбольных": x = 4y

2. Через 5 лет футбольных стало в 6 раз больше, а теннисных - в 4 раза больше: новое количество футбольных мячей = 6 * y новое количество теннисных мячей = 4 * x

3. Всего мячей стало 44: новое количество футбольных + новое количество теннисных = 44 (6 * y) + (4 * x) = 44

Таким образом, у нас есть система уравнений:

1. x = 4y
2. 6y + 4x = 44

Теперь можем решить систему:

Метод 1: Подставим значение x из первого уравнения во второе:

6y + 4(4y) = 44 6y + 16y = 44 22y = 44 y = 44 / 22 y = 2

Теперь найдем значение x, используя уравнение x = 4y:

x = 4 * 2 x = 8

Итак, сначала закупили 2 футбольных мяча и 8 теннисных мячей.

Метод 2: Метод подстановки или метод сложения:

Из первого уравнения выразим x: x = 4y

Подставим это значение x во второе уравнение:

6y + 4(4y) = 44 6y + 16y = 44 22y = 44 y = 44 / 22 y = 2

Теперь найдем значение x, используя первое уравнение:

x = 4 * 2 x = 8

Итак, сначала закупили 2 футбольных мяча и 8 теннисных мячей.