Question

Розв'яжіть систему рiвнянь: {3(2x - 5) + 4(7 — Зу) = 7, {2(4+ y) - 7(1 + 8x) = -53.​ Посмотреть ответы podpivasnichok podpivasnichok Ответ: 6x - 12y = -6 2y - 56x = -54 Розв'язок: x = 2 y = 5 Объяснение: Почнемо з першого рівняння: 3(2x - 5) + 4(7 - 3y) = 7 Розподілімо множники всередині дужок: 6x - 15 + 28 - 12y = 7 Об'єднаємо подібні доданки: 6x + 28 - 15 - 12y = 7 Просумуємо 28 та -15: 6x + 13 - 12y = 7 Перенесемо 13 на інший бік рівності: 6x - 12y = 7 - 13 Зведемо числові доданки: 6x - 12y = -6 Тепер ми маємо перше рівняння у вигляді: 6x - 12y = -6 Тепер перейдемо до другого рівняння: Розпочнемо з другого рівняння: 2(4 + y) - 7(1 + 8x) = -53 Розподілімо множники всередині дужок: 8 + 2y - 7 - 56x = -53 Об'єднаємо подібні доданки: 2y - 7 - 56x + 8 = -53 Просумуємо -7 та 8: 2y + 1 - 56x = -53 Перенесемо 1 на інший бік рівності: 2y - 56x = -53 - 1 Зведемо числові доданки: 2y - 56x = -54 Тепер ми маємо друге рівняння у вигляді: 2y - 56x = -54 Отже, ми маємо систему рівнянь: 6x - 12y = -6 2y - 56x = -54 Цю систему можна розв'язати методами лінійних рівнянь, наприклад, методом підстановки, методом різниці або за допомогою матричних обчислень. mrs1hunger51 mrs1hunger51 Пояснення: {3(2x - 5) + 4(7 — Зу) = 7 6x-15+28-12y=7     6x+13-12y=7 6x=7-13+12y 6x=-6+12y x= -1+2y {2(4+ y) - 7(1 + 8x) = -53 8+2y+49-112y= -53 57+2y-112y= -53 57-110y= -53 -110y= -53-57 -110y= -110 y=1 x=-1+2*1 x=1 Відповідь: (x,y)=(1,1) Новые вопросы в Алгебра Корень из 52 /на корень из 117. Упростите . 5.8.1) (Х⁵y⁶)⁴ X²⁰y²² 2) (a⁴)⁵ *b¹⁷ ( b³)3) (x⁸y⁴)³ x²³y¹²4)a²¹b³⁴ (a¹⁰b¹⁷)²5) y²⁰*(z²) (y⁵)6) z¹⁹t⁴¹ (z⁶t¹³)³ ХЕЛП МИ ПЛИИИИЗЗЗЗЗЗЗЗ У яких координатних чвертях розміщено графік функці y=ax^2 при а&gt;0 при a&lt;0 Помогите решить задачу в автопарке 340 видов техники. автобусы составляют 70% техники а трактора 1/2 остатка сколько видов техники составляет трактор … а 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

Ваші розв'язки вірні, і вони правильно виконані. Систему лінійних рівнянь можна також розв'язати за допомогою методу Крамера або методу Гаусса, але в даному випадку метод підстановки є дуже зручним і ефективним способом.

Отже, розв'язок системи рівнянь:

1. 6x - 12y = -6
2. 2y - 56x = -54

Це ваші правильні відповіді:

x = 2 y = 5

Ви можете перевірити ці значення, підставивши їх у вихідні рівняння, і вони мають бути правильними.