Question

Почему в системе линейного уравнения {x+y=20 {0,8x+1,2y=18 Если выразить через x - будет ответ не правильный и совершенно другой А если через y то будет нормальный ответ Отчего зависит выбор переменной через которую мы будем выражать другую переменную? Есть какая то система или причина по которой я должен был выражать именно через Y?? Что как и почему? Смотреть ответ IrkaShevko IrkaShevko Выразим сразу х: {x = 20 - y {0,8x = 18 - 1,2y {x = 20 - y {x = 22,5 - 1,5y приравняем: 20 - y = 22,5 - 1,5y 0,5y = 2,5 y = 5 x = 20 - y = 15 ответ: (15; 5) выразим теперь у: {y = 20 - x {1,2y = 18 - 0,8x {y = 20 - x {y = 15 - 2x/3 приравняем: 20 - x = 15 - 2x/3 60 - 3x = 45 - 2x x = 60 - 45 = 15 y = 20 - x = 5 ответ: (15; 5) как видим, не важно что выражать, ответы одинаковые выразили х из одного и подставили в другое это способ подстановки это же не способ подстановки Новые вопросы в Математика Найдите вероятность того, что на тестировании ученик ответит правильно на все 5 вопросов. 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Answer 1

Да, вы правы. В данной системе линейных уравнений ответы получаются одинаковыми, независимо от того, через какую переменную (x или y) мы выражаем другую.

Это происходит потому, что система состоит из двух уравнений с двумя неизвестными. В таком случае, есть возможность выразить любую из переменных через другую, и результаты будут совпадать. Это связано с тем, что система линейных уравнений определяет прямую линию (или их пересечение в случае двух уравнений) и у каждого уравнения есть одна общая точка пересечения на графике.

Интересно, что вы получили две разные системы уравнений, но они приводят к одному и тому же ответу. Это случайность и зависит от конкретных коэффициентов уравнений.

В других системах линейных уравнений также может быть возможность выразить переменные через разные способы, и это может привести к различным ответам. В таких случаях важно быть внимательным и выбирать тот способ, который позволяет получить правильное решение для конкретной системы.