Question

Помогите пожалуйста с 3 примерами 3){4x+5y=1 {2x-3y=22){x+y=4 {3x+5y=201){x+y=5 {x-y=7 Посмотреть ответы Adammiguel2001 Adammiguel2001 Ответ: 1) {x+y=5 {y=5-x {y=5-x {y=5-x {y=5-x {y=5-1 => => => => => {x-y=7 {x-y=7 {x-(5-x)=7 {2x=7-5 {2x=2 {x=1 Объяснение: {y=4 => {x=1 Outsider02 Outsider02 Ответ: 2)x,y(0,4) Объяснение: 2) {x+y=4 {3x+5y=20 x+y=4 x=4-y 3(4-y)+5y=20 12-3y+5y=20 2y=20-12 2y=8 y=4 x=4-4 x=0 x,y(0,4) Новые вопросы в Алгебра допоможіть будь ласка (​ очень нужноответ должен быть 6​ Моторний човен проплив 80 км за течією річки і повернувся назад, витративши на зворотний шлях на 1 год більше. Знайдіть швидкість течії, якщо власна ш … видкість човна дорівнює 18 км/год. Напишиіть условія та відповідь ( 6x - y = -1, (4x-5y=-17. - решить методом підстановки. СРОЧНО СПАМ=БАН ТА ЖБ​ 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

Давайте разберем примеры по очереди:

1. {4x+5y=1 {2x-3y=22

   Вы можете решить эту систему уравнений с помощью метода подстановки или метода сложения/вычитания уравнений. Давайте воспользуемся методом сложения:

   Сначала умножим второе уравнение на 2, чтобы сделать коэффициент x одинаковым:

   {4x + 5y = 1 {4x - 6y = 44

   Теперь вычтем второе уравнение из первого:

   (4x + 5y) - (4x - 6y) = 1 - 44

   4x + 5y - 4x + 6y = -43

   11y = -43

   y = -43 / 11

   y = -3.909 (округлим до трех знаков после запятой)

   Теперь, когда у нас есть значение y, мы можем найти x, подставив его в одно из исходных уравнений. Давайте используем первое уравнение:

   4x + 5(-3.909) = 1

   4x - 19.545 = 1

   4x = 1 + 19.545

   4x = 20.545

   x = 20.545 / 4

   x = 5.136 (округлим до трех знаков после запятой)

   Итак, решение этой системы уравнений: x ≈ 5.136 и y ≈ -3.909.

2. {x+y=4 {3x+5y=20

   Мы также можем использовать метод сложения/вычитания:

   Умножим первое уравнение на 3, чтобы сделать коэффициент x одинаковым:

   {3x + 3y = 12 {3x + 5y = 20

   Теперь вычтем первое уравнение из второго:

   (3x + 5y) - (3x + 3y) = 20 - 12

   5y - 3y = 8

   2y = 8

   y = 8 / 2

   y = 4

   Теперь, используя значение y, найдем x, подставив его в первое уравнение:

   x + 4 = 4

   x = 4 - 4

   x = 0

   Итак, решение этой системы уравнений: x = 0 и y = 4.

3. {x+y=5 {x-y=7

   Мы можем решить эту систему уравнений методом сложения:

   Сложим оба уравнения:

   (x + y) + (x - y) = 5 + 7

   2x = 12

   x = 12 / 2

   x = 6

   Теперь, используя значение x, найдем y, подставив его в одно из уравнений (например, первое):

   6 + y = 5

   y = 5 - 6

   y = -1

   Итак, решение этой системы уравнений: x = 6 и y = -1.