Question

6. Розв'яжіть систему рівнянь графічно: 1) {x + y = 5 {x - y = 3 2) {2x + y = 0 {3y - x = 7 Смотреть ответ andrvjgel andrvjgel Ответ:Давайте спершу розв'яжемо першу систему рівнянь графічно:1){x + y = 5{x - y = 3Спочатку перепишемо обидва рівняння у вигляді y = f(x):1) x + y = 5 => y = 5 - x2) x - y = 3 => y = x - 3Тепер ми маємо два вирази для y від x. Ми можемо намалювати графіки цих двох рівнянь та знайти їхню точку перетину:Графік рівняння y = 5 - x є прямою, яка має негативний нахил та перетинає вісь y при y = 5.Графік рівняння y = x - 3 є прямою з позитивним нахилом та перетинає вісь y при y = -3.Отже, обидві прямі перетинаються в точці (2, 3).Тепер розв'яжемо другу систему рівнянь графічно:2){2x + y = 0{3y - x = 7Також перепишемо їх у вигляді y = f(x):1) 2x + y = 0 => y = -2x2) 3y - x = 7 => y = (x + 7) / 3Знову малюємо графіки обох рівнянь та знаходимо точку їхнього перетину:Графік рівняння y = -2x є прямою з від'ємним нахилом, яка проходить через початок координат (0, 0).Графік рівняння y = (x + 7) / 3 є прямою з позитивним нахилом, яка перетинає вісь y при y = 7/3.Обидві прямі перетинаються в точці (0, 0).Таким чином, рішеннями обох систем рівнянь є:1) (2, 3)2) (0, 0) Новые вопросы в Математика 6. Розв'яжіть систему рівнянь графічно: 1) {x + y = 5 {x - y = 3 2) {2x + y = 0 {3y - x = 7 Решите задание по вышмату помогите решить заданите по алгебере с матрицами пожалуйста 4. Найдите значение выражения а : 13 + 83 · 7, если а = 377. ​ НУЖНО СДЕЛАТЬ В СТОЛБИК!!! СРОЧНО ОЧЕНЬ НАДО!! БУДУ ОЧЕНЬ БЛАГОДАРНА ЕСЛИ СДЕЛАЕТЕ 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

Розв'язання першої системи рівнянь графічно:

Давайте спершу розв'яжемо першу систему рівнянь графічно: 1) {x + y = 5 2) {x - y = 3

Спочатку перепишемо обидва рівняння у вигляді y = f(x): 1) x + y = 5 => y = 5 - x 2) x - y = 3 => y = x - 3

Тепер ми маємо два вирази для y від x. Ми можемо намалювати графіки цих двох рівнянь та знайти їхню точку перетину:

Графік рівняння y = 5 - x є прямою, яка має негативний нахил та перетинає вісь y при y = 5.

Графік рівняння y = x - 3 є прямою з позитивним нахилом та перетинає вісь y при y = -3.

Отже, обидві прямі перетинаються в точці (2, 3).

Розв'язання другої системи рівнянь графічно:

2) {2x + y = 0 3) {3y - x = 7

Також перепишемо їх у вигляді y = f(x): 1) 2x + y = 0 => y = -2x 2) 3y - x = 7 => y = (x + 7) / 3

Знову малюємо графіки обох рівнянь та знаходимо точку їхнього перетину:

Графік рівняння y = -2x є прямою з від'ємним нахилом, яка проходить через початок координат (0, 0).

Графік рівняння y = (x + 7) / 3 є прямою з позитивним нахилом, яка перетинає вісь y при y = 7/3.

Обидві прямі перетинаються в точці (0, 0).

Таким чином, рішеннями обох систем рівнянь є: 1) (2, 3) 2) (0, 0)