
Решить стстему уравнений Х+у=11 Х^2-у^2=30


Ответы на вопрос




I can help you solve the system of equations x + y = 11, x^2 - y^2 = 30. Here are the steps:
- Rewrite the second equation as (x + y) (x - y) = 30 using the difference of squares formula. - Substitute x + y = 11 into the equation and get 11 (x - y) = 30. - Solve for x - y and get x - y = 30 / 11. - Add the first and second equations and get 2x = 11 + 30/11 = 151/11. - Solve for x and get x = 151/22 = 6 and 19/22. - Substitute x = 151/22 into the first equation and get y = 11 - 151/22 = 91/22 = 4 and 3/22.
The solution is x = 6 and 19/22, y = 4 and 3/22. You can check your answer by plugging these values into the original equations and verifying that they are true.
You can also use a free online calculator to solve systems of equations, such as [Symbolab](https://ru.symbolab.com/solver/system-of-equations-calculator) or [Uchi.ru](https://uchi.ru/otvety/questions/reshit-ststemu-uravneniy-h-u-11-h-2-u-2-30). These websites can show you the steps and provide examples of similar problems.
I hope this helps you understand how to solve systems of equations. If you have any other questions, feel free to ask me. Have a nice day!


Топ вопросов за вчера в категории Алгебра
Последние заданные вопросы в категории Алгебра
-
Математика
-
Литература
-
Алгебра
-
Русский язык
-
Геометрия
-
Английский язык
-
Химия
-
Физика
-
Биология
-
Другие предметы
-
История
-
Обществознание
-
Окружающий мир
-
География
-
Українська мова
-
Информатика
-
Українська література
-
Қазақ тiлi
-
Экономика
-
Музыка
-
Право
-
Беларуская мова
-
Французский язык
-
Немецкий язык
-
МХК
-
ОБЖ
-
Психология
-
Физкультура и спорт
-
Астрономия
-
Кыргыз тили
-
Оʻzbek tili