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Решить систему уравнений методом сложения.{2х-5у=-1 {{5х-у=9​ Посмотреть ответы Участник Знаний Участник Знаний Ответ: прощуууу плиз спасибо нажми Объяснение: anya3447 anya3447 Ответ: {у=9+5х {2х-5(9+5х)=-1 2х-45-25х=-1 -23х-45=-1 -23х=-1+45 -23х=44 х=44/-23 х=-1,9 Находим у по х у=9+5*-1,9=-0,5 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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Answer 1

Для решения данной системы уравнений методом сложения, мы складываем уравнения таким образом, чтобы одна из переменных ушла, и получаем новое уравнение. Затем, решая это новое уравнение, мы находим значение одной переменной, подставляем его обратно в одно из исходных уравнений и находим значение второй переменной.

Исходная система уравнений:

1. 2x - 5y = -1
2. 5x - y = 9

Умножим второе уравнение на 5, чтобы коэффициенты при x совпали: 5(5x - y) = 5 * 9 25x - 5y = 45

Теперь мы можем сложить это новое уравнение с первым исходным уравнением: (2x - 5y) + (25x - 5y) = -1 + 45 2x + 25x - 5y - 5y = 44 27x - 10y = 44

Таким образом, мы получили новое уравнение: 27x - 10y = 44.

Теперь решим это новое уравнение для определения значений переменных x и y.

27x - 10y = 44

Для начала, решим это уравнение относительно x: 27x = 44 + 10y x = (44 + 10y) / 27

Затем, подставим это значение x в одно из исходных уравнений, например, в первое: 2((44 + 10y) / 27) - 5y = -1

Раскроем скобки и упростим уравнение: (88 + 20y) / 27 - 5y = -1

Умножим оба члена уравнения на 27, чтобы избавиться от знаменателя: 88 + 20y - 135y = -27

Сгруппируем переменные y: -115y = -115

Разделим обе части уравнения на -115: y = -115 / -115 y = 1

Теперь, найдя значение y, подставим его обратно в уравнение для нахождения значения x: x = (44 + 10(1)) / 27 x = 54 / 27 x = 2

Итак, решением данной системы уравнений методом сложения является x = 2 и y = 1.