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Решите уравнения путем сложения {5х+у=-2. {-5х+3у=-6 Посмотреть ответы anastkonowalowa2014 anastkonowalowa2014 Ответ: {5х+у=-2. {-5х+3у=-6 5x-5x=0 y+3y=4y -2-6=-8⇒4y=-8⇒y=-8/4 y=-2 Подставь теперь игрик в любое уравнение и найди икс сам *я торопилась и забыла про это* Спасибо linafire15 linafire15 Ответ: 4у=-8 у=2 5х+2=-2 5х=-4 х=-0.8 Новые вопросы в Математика буду рада получить путь решения этой задачи ​ Прямая DK перпендикулярна прямым DA и DC,содержащим стороны ромба ABCD.Найдите угол между прямыми DK и BC. У трикутнику АВС відомо, що АВ = 17 см, ВС = 9 см, кут С тупий, висота AD дорівнює 8 см. Знайдіть сторону АС хелп меее плсразвернутыйотет нада​ У трикутнику АВС відомо, що ВС = 20 см, висота BD ділить сторону АС на відрізки AD = 5 cм і СD = 16 см. Знайдіть сторону АВ. С розв'язком, 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

Вы уже получили правильный ответ от других пользователей, но давайте решим это уравнение шаг за шагом, чтобы подтвердить результаты.

У вас есть система уравнений:

1. $5x + y = -2$
2. $-5x + 3y = -6$

Давайте решим эту систему методом сложения:

Сначала давайте умножим первое уравнение на 5, чтобы избавиться от коэффициента 5 перед $x$:

$5 \cdot (5x + y) = 5 \cdot (-2)$ $25x + 5y = -10$

Теперь сложим это новое уравнение с вторым уравнением:

$(25x + 5y) + (-5x + 3y) = -10 + (-6)$ $25x - 5x + 5y + 3y = -16$ $20x + 8y = -16$

Далее, можно поделить обе стороны этого уравнения на 4, чтобы упростить его:

$\frac{20x + 8y}{4} = \frac{-16}{4}$ $5x + 2y = -4$

Теперь мы имеем одно уравнение с двумя неизвестными. Мы можем выразить одну переменную через другую. Давайте выразим $y$:

$2y = -4 - 5x$ $y = -2 - \frac{5x}{2}$ $y = -2.5x - 2$

Теперь мы можем подставить это значение $y$ в первое уравнение:

$5x + (-2.5x - 2) = -2$ $5x - 2.5x - 2 = -2$ $2.5x - 2 = -2$ $2.5x = 0$ $x = 0$

Теперь, зная $x$, мы можем найти $y$ с помощью выражения $y = -2.5x - 2$:

$y = -2.5 \cdot 0 - 2$ $y = -2$

Таким образом, решение системы уравнений: $x = 0$ и $y = -2$.