Вопрос задан 29.06.2023 в 21:57. Предмет Алгебра. Спрашивает Zolotareva Alina.

Решите систему уравнений графическим способом: { 2x-y=3 {3x-2y=5 {y=x+6 {y-10=x

Смотреть ответ ivanovarabia92 ivanovarabia92 Ответ: 1.{2x-y=3 {3x-2=5 {y=-3+2x {3x-2y=5 3x-2(-3+2)=5 x=1 y=-3+2×1 y=-1 Объяснение: незнаю правильно или нет Новые вопросы в Алгебра допоможіть с цими функціями будь ласка ​ Розв'яжіть систему рівнянь способом додавання. { 5x+6y=215, 7x+3y=166; розв'яжіть систему рівнянь способом підстановки. { x-y=2, 3x-2y=9; 5. За умовою задачі складіть вираз зі змінними.Микола купив м ручок по 12 грн і 14 зошитів по л грн, заплативши за зошити більше, ніж за ручки. На скі … льки більше заплатив хлопчик за зошити, ніж за ручки? Обчисліть значення отриманого виразу при м=7, п=8.6. За умовою задачі складіть вираз зі змінною.Майстер щогодини виготовляв а деталей, а його учень на 7 деталей менше. Скільки деталей вони виготовили разом, якщо майстер працював 6 год, а учень- 4 год?​ Розв'яжіть систему рівнянь графічно { 5x+4y=8, -2x+3y=7; Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . 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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Давайте начнем с решения первой системы уравнений:

  1. 2x - y = 3
  2. 3x - 2y = 5

Для решения этой системы уравнений графическим способом, мы можем нарисовать графики обоих уравнений на одном графике и найти точку их пересечения.

Для уравнения 1: 2x - y = 3, выразим y:

y = 2x - 3

Для уравнения 2: 3x - 2y = 5, выразим y:

y = (3x - 5) / 2

Теперь давайте построим графики обоих уравнений:

График уравнения 1 (синий): y = 2x - 3

График уравнения 2 (красный): y = (3x - 5) / 2

Теперь найдем точку их пересечения, которая будет решением данной системы:

Синий график (2x - y = 3) и красный график (3x - 2y = 5) пересекаются в точке (x, y). Мы можем найти значение x и y из их пересечения.

Судя по вашему предыдущему ответу, вы уже нашли, что x = 1. Теперь найдем значение y:

Для синего графика (2x - y = 3): 2 * 1 - y = 3 2 - y = 3

Теперь выразим y: y = 2 - 3 y = -1

Таким образом, решение первой системы уравнений: x = 1 y = -1

Теперь перейдем ко второй системе уравнений:

  1. y = x + 6
  2. y - 10 = x

Мы можем решить эту систему методом подстановки. Заменяем выражение для y из уравнения 1 в уравнение 2:

x + 6 - 10 = x

Теперь решим это уравнение:

x - 4 = x

Теперь выразим x: -4 = 0

Это уравнение не имеет решения, так как оно приводит к ложному утверждению (-4 = 0). Это означает, что вторая система уравнений не имеет решения.

Итак, резюмируя:

  1. Решение первой системы уравнений: x = 1 y = -1

  2. Вторая система уравнений не имеет решения.

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