Question

{y+x²=5 {x-y=7 Допоможіть будь ласка Смотреть ответ sultanomyrserik sultanomyrserik Ответ: y=-11;-4, x=-4;3 Объяснение: {y+x²=5. {y+x²=5. {y+(7+y)²=5. {x-y=7, {x=7+y, {x=7+y. y+(7+y)²=5 y+49+14y+y²=5 y²+15y+44=0 По теоремы Виета, y1=-11, y2=-4. x1=7+y1=7+(-11)=-4. x2=7+(-4)=3. Новые вопросы в Алгебра (7x+1)-(9x+3)=5 решыте ! 5-2(х-1)=4-х Помогите решыть ! 3(x-2)=x+2 помогите решыть розвʼяжіть систему рівнянь х-у=5 х+у=1 А.(-2;3) Б.(6;1) В.(-2;3) Г.(3;-2) Басейн наповнюється двома трубами за 4 години. За скільки годин наповнить цей басейн кожна труба окремо, коли відомо, що продуктивність однієї з них у … 2,5 рази вища від продуктивності другої? Допоможіть будь ласка 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

Давайте розв'яжемо поставлені вами алгебраїчні задачі:

1. Рівняння (7x+1)-(9x+3)=5: Розв'яжемо його крок за кроком: 7x + 1 - 9x - 3 = 5 (7x - 9x) + (1 - 3) = 5 -2x - 2 = 5 -2x = 5 + 2 -2x = 7 x = 7 / (-2) x = -3.5

2. Рівняння 5-2(x-1)=4-x: Розв'яжемо його крок за кроком: 5 - 2(x - 1) = 4 - x 5 - 2x + 2 = 4 - x -2x + 7 = 4 - x -2x + x = 4 - 7 -x = -3 x = -3

3. Рівняння 3(x - 2) = x + 2: Розв'яжемо його крок за кроком: 3(x - 2) = x + 2 3x - 6 = x + 2 3x - x = 2 + 6 2x = 8 x = 8 / 2 x = 4

4. Система рівнянь x - y = 5 та x + y = 1: Щоб знайти значення x та y, можемо скласти обидві рівняння, щоб усунути змінну y: (x - y) + (x + y) = 5 + 1 2x = 6 x = 6 / 2 x = 3 Після того, як ми знайшли x, можемо підставити його у одне з рівнянь, щоб знайти y: x + y = 1 3 + y = 1 y = 1 - 3 y = -2

Таким чином, розв'язки системи рівнянь x - y = 5 та x + y = 1 є x = 3 та y = -2.

5. Задача про басейн: Позначимо продуктивність першої труби як "x", а другої труби як "y". За умовою, басейн заповнюється двома трубами за 4 години: За 1 годину перша труба заповнює 1/x басейну, а друга труба заповнює 1/y басейну. Таким чином, ми можемо записати наступну систему рівнянь:

   1/x + 1/y = 1/4 (так як обидві труби разом заповнюють басейн за 4 години) x/y = 2.5 (продуктивність першої труби вища у 2.5 рази від продуктивності другої)

   Знайдемо значення x та y з цієї системи. Спочатку знайдемо y виразом з x з другого рівняння: x/y = 2.5 y = x / 2.5

   Тепер підставимо цей вираз у перше рівняння: 1/x + 1/(x/2.5) = 1/4

   Переведемо усі дроби до спільного знаменника: (2.5 + 1) / (2.5x) = 1/4

   Спростимо рівняння: 3.5 / (2.5x) = 1/4

   Помножимо обидві сторони на 2.5x, щоб позбавитись від знаменника: 3.5 = 0.25x

   Поділимо обидві сторони на 0.25, щоб знайти x: x = 3.5 / 0.25 x = 14

   Тепер підставимо значення x у вираз для y: y = x / 2.5 y = 14 / 2.5 y = 5.6

Таким чином, продуктивність першої труби (x) дорівнює 14, а продуктивність другої труби (y) дорівнює 5.6.