Question

Розв'язати способом підстановки {x-y =-2, 3x+ y =6 Смотреть ответ denisik3663 denisik3663 Ответ: {x-y=-2, 3x+y=6 x=-2+y - подставляем в 2 уравнение -> 3*(-2+y) = 6  -6+3y=6 3y=12 y=12/3=4 y=4 - подставляем его в любое уравнение системы -> x-y=-2 x-4=-2 x=-2+4 x=2 {y=4, x=2 Объяснение: Новые вопросы в Алгебра Необходимо решить уравнение: 2*(x+2х+3х+4x)=600 Выберите один ответ: 0 1. 20 0 2. 30 0 3. 4​ сколькими способами можно разложить 7 монет в 3 кармана? Сколькими способами могут разместиться три горнолыжника в четырёхместном подвесном кресле подъёмника? Решение: число способов равно . сколькими способами можно выбрать 6 человек из 15 спортивных соревнований Прошу допомогти! Треба здати завтра ( 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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Answer 1

Здається, ви хочете розв'язати систему лінійних рівнянь методом підстановки. Подивіться на дану систему:

1. $x - y = -2$
2. $3x + y = 6$

Спочатку розв'яжемо перше рівняння відносно однієї з змінних. Виразимо $x$ через $y$ з першого рівняння:

$x = -2 + y$

Тепер підставимо це значення $x$ в друге рівняння:

$3x + y = 6$ $3(-2 + y) + y = 6$ $-6 + 3y + y = 6$ $4y = 12$ $y = \frac{12}{4} = 3$

Тепер, знаючи значення $y$, підставимо його назад в вираз для $x$:

$x = -2 + y = -2 + 3 = 1$

Отже, розв'язок системи рівнянь:

$x = 1, \quad y = 3$

Відносно вашого наступного питання про рівняння $2 \cdot (x + 2x + 3x + 4x) = 600$, спробуємо його вирішити:

$2 \cdot (x + 2x + 3x + 4x) = 600$ $2 \cdot 10x = 600$ $20x = 600$ $x = \frac{600}{20} = 30$

Отже, відповідь: $x = 30$.

Щодо питання про розкладання 7 монет у 3 кармани, способів може бути кілька, і це питання вже виходить за межі алгебри, оскільки воно включає комбінаторику.

Так само, для розміщення трьох гірськолижників у чотирьохмісному підвісному кріслі підйомника можна знайти різні можливості. Наприклад, якщо місця в підвісному кріслі нумеруються, то можна розглядати всі можливі перестановки гірськолижників на цих місцях.

Аналогічно, для вибору 6 осіб із 15 спортивних змагань, це також вже не просто алгебра, а комбінаторика. Ви шукаєте кількість способів вибору підмножини розміром 6 з набору розміром 15, що є завданням для комбінаторики.

Якщо у вас є ще питання, пов'язані з алгеброю або іншими предметами, будь ласка, запитуйте!