Вопрос задан 24.09.2023 в 17:24. Предмет Алгебра. Спрашивает Воронцов Сергей.

Розв'яжіть систему рівнянь {4x+3y=6 {-4х-у=2 СРОЧНО

Посмотреть ответы Universalka Universalka Решим систему способом сложения : Universalka, здравствуйте! у меня в профиле есть 2 вопроса по алгебре нерешенние, можете помочь пожалуйста? Здравствуйте! Можете пожалуйста, если не заняты помочь мне с геометрией. Задания в моём Пожалуйста, есть у Вас есть время силы желание, то помогите мне,прошу Вас. ОЧЕНЬ нужна помощь. Была бы безумно Вам благодарна.В любом случае спасибо ..и хорошего Вам дня vladagrigoreva10 vladagrigoreva10 {4x +3(-4x-2), {y=-4x-2; {4x-12x-6=6, {y=-4x-2; {-8x=12, {y=-4x-2; {x=-1,5, {y=-4*-1,5 -2; {x=-1,5, {y=4. Відповідь: (-1,5;4) Новые вопросы в Алгебра пожалуйста эти 2 задания с решением (5a-4)-(2a-7) і 3a-11 чи є вираз тотожністю​ Упростите выражение с подробным объяснением, пожалуйста Скоротіть дроби, допоможіть будь ласка помогите пожалуйста дам 30балов.суму чисел а і в, помножену на 5​ Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . 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Давайте решим данную систему уравнений по шагам, используя метод сложения (или метод замещения). У нас есть два уравнения:

  1. 4x + 3y = 6
  2. -4x - y = 2

Сначала умножим второе уравнение на -3, чтобы избавиться от y в обоих уравнениях:

  1. 4x + 3y = 6
  2. 12x + 3y = -6

Теперь сложим оба уравнения:

(4x + 3y) + (12x + 3y) = 6 - 6

Складываем x и y с соответствующими коэффициентами:

16x + 6y = 0

Теперь делим обе стороны на 2, чтобы упростить:

(16x + 6y)/2 = 0/2

8x + 3y = 0

Теперь у нас есть новое уравнение:

  1. 8x + 3y = 0

Теперь мы можем решить эту систему, используя уравнение №3 и одно из начальных уравнений (например, уравнение №1). Давайте решим её:

8x + 3y = 0 4x + 3y = 6

Вычтем уравнение №1 из уравнения №3:

(8x - 4x) + (3y - 3y) = 0 - 6

4x = -6

Теперь разделим обе стороны на 4:

(4x)/4 = (-6)/4

x = -3/2

Теперь, когда мы знаем значение x, мы можем найти значение y, используя уравнение №1:

4x + 3y = 6 4(-3/2) + 3y = 6

Упростим:

-6 + 3y = 6

Добавим 6 к обеим сторонам:

3y = 12

Теперь разделим обе стороны на 3:

(3y)/3 = 12/3

y = 4

Итак, решение системы уравнений:

x = -3/2 y = 4

Проверим, подставив эти значения обратно в исходные уравнения:

  1. 4x + 3y = 6 4(-3/2) + 3(4) = 6 -6 + 12 = 6 6 = 6 (верно)

  2. -4x - y = 2 -4(-3/2) - 4 = 2 6 - 4 = 2 2 = 2 (верно)

Оба уравнения верны, поэтому наше решение x = -3/2, y = 4 является корректным решением данной системы.

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