Вопрос задан 11.07.2023 в 19:27. Предмет Алгебра. Спрашивает Иганов Борис.

Помогите пожалуйста Решите систему уравнений способом алгебраического сложения.{2t+u=0;-u+3t=1​

Смотреть ответ kamilabaymuratova28 kamilabaymuratova28 Ответ: +{2t+u=0;   -u+3t=1 5t=1 t=0.2 2*0.2+u=0 u=-0.4 Новые вопросы в Алгебра Пожалуйстаааааааа помогите не могу сделать Укажите решение неравенства x-1меньше или равно 3x+2 Помогите пожалуйста!!!!!!!! помогите срочно пожалуйста ​ СРОЧНО!!! Приведите выражение к многочлену стандартного вида, используя формулы сокращённого умножения:(1/2m+4n)^2 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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Для решения системы уравнений методом алгебраического сложения, нужно сложить два уравнения так, чтобы одна из переменных ушла, и останется только одна переменная. В данной системе, мы можем сложить уравнения таким образом:

{2t + u = 0 -u + 3t = 1


2t + u + (-u + 3t) = 0 + 1

Упростим выражение:

2t + u - u + 3t = 1

Теперь, сложим переменные t:

5t = 1

Теперь найдем значение переменной t:

t = 1 / 5 t = 0.2

Теперь, подставим значение t обратно в любое из уравнений, чтобы найти значение переменной u:

2t + u = 0 2 * 0.2 + u = 0 0.4 + u = 0 u = -0.4

Таким образом, решение системы уравнений:

t = 0.2 u = -0.4

Теперь перейдем к вашим другим вопросам:

  1. Решение неравенства x - 1 ≤ 3x + 2: x - 1 ≤ 3x + 2 Перенесем все x на одну сторону, а числовые значения на другую сторону: x - 3x ≤ 2 + 1 -2x ≤ 3 Теперь разделим обе стороны на -2, не забывая при этом изменить знак неравенства, так как мы делим на отрицательное число: x ≥ -3/2

    Ответ: x ≥ -3/2.

  2. Приведение выражения (1/2m + 4n)^2 к многочлену стандартного вида: (1/2m + 4n)^2 = (1/2m + 4n) * (1/2m + 4n)

    Для умножения скобок распространим умножение сначала по первой скобке и второй скобке, а затем сложим полученные произведения:

    (1/2m + 4n) * (1/2m + 4n) = (1/2m) * (1/2m) + (1/2m) * 4n + 4n * (1/2m) + 4n * 4n

    Теперь упростим каждое слагаемое:

    (1/2m) * (1/2m) = 1/4m^2 (1/2m) * 4n = 2mn 4n * (1/2m) = 2mn 4n * 4n = 16n^2

    Теперь сложим все слагаемые:

    (1/2m + 4n)^2 = 1/4m^2 + 2mn + 2mn + 16n^2

    Наконец, объединим одинаковые члены и представим многочлен в стандартном виде:

    (1/2m + 4n)^2 = 1/4m^2 + 4mn + 16n^2

    Ответ: (1/2m + 4n)^2 = 1/4m^2 + 4mn + 16n^2.

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