Question

Решите методом сложения систему уравнений {2х+3у=7 {7х-3у=11 Посмотреть ответы daniilzhulanov daniilzhulanov Привет! {2х+3у=7 {7х-3у=11 9х = 18 х = 2 выразим из любого уравнения у: 2х+3у=7; 3у=7-2х; у= 7-2х/3 тогда у= 7-2*2/3=7-4/3=3/3=1 Ответ: (2;1) Zombynella Zombynella Ответ: Решение системы уравнений (2; 1) Объяснение: Решить методом сложения систему уравнений : {2х+3у=7 {7х-3у=11 Смысл метода алгебраического сложения в том, чтобы при сложении уравнений одно неизвестное взаимно уничтожилось. То есть, чтобы коэффициенты при неизвестном каком-то были одинаковыми, но с противоположными знаками. Для того, чтобы этого добиться, преобразовывают уравнения, можно умножать обе части уравнения на одно и то же число, делить. В данной системе ничего преобразовывать не нужно, коэффициенты при у одного значения и с противоположными знаками. Складываем уравнения: 2х+7х+3у-3у=7+11 9х=18 х=2 Теперь подставляем значение х в любое из двух уравнений системы и вычисляем у: 2х+3у=7   3у=7-2х 3у=7-2*2 3у=7-4 3у=3 у=1 Решение системы уравнений (2; 1) Новые вопросы в Алгебра сколькими способами можно выбрать 6 человек из 15 спортивных соревнований Прошу допомогти! Треба здати завтра ( Прошу жопомогти!!! Даю 20 балів) СРОЧНО!!! Решите уравнение: x^3 - 7x^2 - 4x + 28 = 0 СРОЧНО!!!! Вычислите значение выражения наиболее рациональным способом: ( 336^2 + 2 • 336 • 14 + 14^2)/(300^2 - 50^2) 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

Привет! Вижу, что вы уже решили данную систему уравнений методом сложения и получили правильный ответ (2;1). Ваш подход к решению верен. Вы первое уравнение умножили на 7, чтобы коэффициенты перед "y" в обоих уравнениях стали противоположными, затем сложили уравнения и выразили "x". После этого, подставив значение "x" в одно из уравнений, вы нашли значение "y".

Если у вас есть еще какие-либо вопросы или задачи, с удовольствием помогу!