Question

Решите систему уравнений {5(х+2у)-3=х+5 {4(х-3у)-50=-упж очень срочно, с решением плиз, способом сложения​ Посмотреть ответы kotofeevicholeg kotofeevicholeg Ответ: х = 7; у = -2; Объяснение: 5(х + 2у) - 3 = х + 5 4(х - 3у) - 50 = -у Раскрываем скобки, собираем в левой части, приводим подобные 5х + 10у - х = 3 + 5 4х - 12у + у = 50 4х + 10у = 8 4х - 11у = 50 Вычитаем (сложение, но домножить 2е уравнение на -1) 21у = -42 у = -2 Подставим 4х + 22 = 50 4х = 28 х = 7 не за что. спасибо большое ludmilaksenija2005 ludmilaksenija2005 Объяснение: {5(х+2у)-3=х+5 {4(х-3у)-50= - у {5х+10у-3=х+5 {4х-12у-50= - у {4х+10у=8 {4х-11у=50 ×(-1) {4х+10у=8 {-4х+11у= - 50 + ——----- 21у= - 42 У= - 2 4х=8-10у 4х=8-10×(-2) 4х=8+20 4х=28 Х=7 Ответ :(7; - 2) и вам большое спасибо 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. 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Answer 1

Решим данную систему уравнений методом сложения:

1. Изначальные уравнения:

   scssCopy code
   5(x + 2y) - 3 = x + 5
   4(x - 3y) - 50 = -у
   

2. Раскроем скобки и соберем подобные члены:

   Copy code
   5x + 10y - 3 = x + 5
   4x - 12y - 50 = -у
   

3. Преобразуем второе уравнение, чтобы избавиться от отрицательного у:

   Copy code
   4x - 12y + у = 50
   

4. Теперь система выглядит следующим образом:

   Copy code
   5x + 10y - 3 = x + 5
   4x - 12y + у = 50
   

5. Теперь сложим оба уравнения, чтобы избавиться от переменной у:

   scssCopy code
   (5x + 10y - 3) + (4x - 12y + у) = (x + 5) + 50
   

6. Упростим:

   Copy code
   5x + 10y - 3 + 4x - 12y + у = x + 55
   9x - 2y - 3 + у = x + 55
   

7. Теперь выразим y в терминах x:

   Copy code
   9x - 2y + у - x - 55 + 3 = 0
   8x - 2y + у - 55 + 3 = 0
   8x - 2y + у - 52 = 0
   

8. Теперь мы имеем систему с двумя уравнениями:

   Copy code
   8x - 2y + у - 52 = 0
   4x - 12y + у = 50
   

9. Решим эту систему методом сложения или вычитания. Умножим второе уравнение на -1 и сложим с первым уравнением:

   scssCopy code
   (8x - 2y + у - 52) + (-(4x - 12y + у)) = 0 - 50
   8x - 2y + у - 52 - 4x + 12y - у = -50
   (8x - 4x) + (-2y + 12y) + (у - у) - 52 = -50
   4x + 10y - 52 = -50
   

10. Упростим:

Copy code
4x + 10y - 52 + 52 = -50 + 52
4x + 10y = 2

11. Теперь у нас есть уравнение:

Copy code
4x + 10y = 2

12. Решим это уравнение относительно x:

makefileCopy code
4x = 2 - 10y
x = (2 - 10y) / 4
x = (1 - 5y) / 2

13. Теперь мы можем использовать полученное значение x и подставить его в любое из исходных уравнений для нахождения y. Давайте используем первое уравнение:

scssCopy code
5(x + 2y) - 3 = x + 5
5((1 - 5y) / 2 + 2y) - 3 = (1 - 5y) / 2 + 5

14. Упростим уравнение и решим его относительно y:

scssCopy code
5(1 - 5y) / 2 + 10y - 3 = (1 - 5y) / 2 + 5
5(1 - 5y) + 20y - 6 = 1 - 5y + 10
5 - 25y + 20y - 6 = 1 - 5y + 10
-5y - 5 = -5y + 11
-5 = 11

15. Это уравнение не имеет решения, так как оно приводит к ложному утверждению (-5 = 11).

Итак, система уравнений не имеет решения. Возможно, в процессе решения была допущена ошибка, или система уравнений несовместна.