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Даю 100 баллов! РЕШИТЬ СИСТЕМУ УРАВНЕНИЙ ГРАФИЧНЫМ СПОСОБОМ: {x+5y=10, 4x+6y=8.​ Новые вопросы в Алгебра Длина ребра куба равна a см . Выразить объем куба,если длина ребра была увеличена в 3 раза. ДОПОМОЖІТЬ ШВИДКО РІВНЯННЯ: 4(2х+5)-3(7x-4)+1=20 Даю 20 балів Обчислити 30 баллов даю sin 0 + cos 180* - 2tg 0 + 3 sin 90* Обчисліть: (√7 + √6)² - √168​ Обчисліть: (√7 + √6)² - √168​ 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

Для решения системы уравнений графическим способом, мы можем нарисовать графики обоих уравнений на координатной плоскости и найти точку их пересечения, которая будет решением системы.

Первое уравнение: x + 5y = 10 Преобразуем его для построения графика: 5y = 10 - x y = (10 - x)/5 y = 2 - (1/5)x

Второе уравнение: 4x + 6y = 8 Преобразуем его для построения графика: 6y = 8 - 4x y = (8 - 4x)/6 y = (4 - 2x)/3

Теперь нарисуем графики обоих уравнений на координатной плоскости:

График первого уравнения y = 2 - (1/5)x будет представлять собой прямую линию с наклоном вниз с левого верхнего угла координат (2,0) и с коэффициентом наклона -1/5.

График второго уравнения y = (4 - 2x)/3 также будет прямой линией с наклоном вниз с правого верхнего угла координат (4/3,0) и с коэффициентом наклона -2/3.

Теперь найдем точку пересечения этих двух линий, которая будет решением системы уравнений. Для этого нужно приравнять выражения для y:

2 - (1/5)x = (4 - 2x)/3

Умножим обе стороны на 15 (наименьшее общее кратное 5 и 3), чтобы избавиться от дробей:

15(2 - (1/5)x) = 15((4 - 2x)/3)

Упростим уравнение:

30 - 3x = 5(4 - 2x)

Раскроем скобки:

30 - 3x = 20 - 10x

Переносим все члены с x на одну сторону:

30 - 20 = -10x + 3x

10 = -7x

x = -10/7

Теперь найдем соответствующее значение y, подставив x в одно из уравнений, например, в первое:

y = 2 - (1/5)(-10/7) y = 2 + (2/7) y = 16/7

Итак, решение системы уравнений {x+5y=10, 4x+6y=8} графическим способом: x = -10/7 и y = 16/7.