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Отнимаем от первого второе:x⁹⁹y⁹⁹ +3x² - y² - (x⁹⁹y⁹⁹ +2x² - 2y²) = 3 - 1x² + y² = 2отнимаем от второго третье:x⁹⁹y⁹⁹ + 2x² - 2y² - (x⁹⁹y⁹⁹ - x² - 3y²) = 1 - (-3)3x² + y² = 4получили систему:{x⁹⁹y⁹⁹ +3x² - y² = 3{x² + y² = 2{3x² + y² = 4отнимем от третьего второе:2x² = 2x² = 1x = -1 или x = 1y² = 2 - x² = 2 - 1 = 1y = -1 или y = 1x⁹⁹y⁹⁹ = 3 - 3 + 1 = 1 => x и y одного знакаОтвет: (-1; -1) и (1; 1)Новые вопросы в Математика3) Если неизвестное число увеличить на 10, а полученную сумму умень- шить в 4 раза, то получится 16. Найди 1/3 часть неизвестного числа. с. 20 B. 16 A…. 181) Из двух городов, расстояние между которыми 930км, одновременно на- встречу друг другу выехали два поезда. Скорость одного поезда 80км/ч. Чему равна…скорость второго поезда, если поезда встретились через 6 часов? A. 75 км/ч B. 70 км/ч С. 65 км/ч2) Площади двух садов прямоугольной формы равны. Длина одного сада 40м. Найди длину второго сада, если его ширина на 5M больше ширины первого сада. 54…м, а ширина A. 48 м В. 45 м С. 49 мРеши уравнение.-1/6 а =1 5/6Помогите пожалуйстаОтдаю всё баллы!!Для новорічних подарунків придбали 900 шоколадок, 330 апельсинів, і 510 бананів. Яку найбільшу кількість однакових подарунків можна з них зробити? Скі…льки окремих шоколадок, апельсинів і бананів буде в кожному подарунку? спасибо большое дам 30баловЗнайти діаметр круга, площа якого дорівнює 64 п см² (без кореней)Знайти діаметр круга, площа якого дорівнює 64 п см²Знайти діаметр круга, площа якого дорівнює 100п см²Між шкільними бібліотеками поділили 1505 тлумачних і 645 орфографічних словників української мови. Скільки було шкіл, якщо відомо, що їх не менше ніж…212 і кожна школа отримала однакову кількість словників кожного виду.периметр треугольника равен 39 см. длина одной стороны 17 см, другая на 5 см меньше. найди длину третьей стороныпомогите пожалуйста!!! желательно с ус…ловием если не тяжелоПредыдущийСледующийВместе мы знаем большеЭтот сайт использует cookies Политика Cookies . 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помогите прошу!!!Ничего не пойму...

Холмс16140 @Холмс16140

July 2022 1 3 Report

помогите прошу!!!Ничего не пойму....

Answers & Comments

IrkaShevko

Verified answer

Отнимаем от первого второе:

x⁹⁹y⁹⁹ +3x² - y² - (x⁹⁹y⁹⁹ +2x² - 2y²) = 3 - 1

x² + y² = 2

отнимаем от второго третье:

x⁹⁹y⁹⁹ + 2x² - 2y² - (x⁹⁹y⁹⁹ - x² - 3y²) = 1 - (-3)

3x² + y² = 4

получили систему:

{x⁹⁹y⁹⁹ +3x² - y² = 3
{x² + y² = 2
{3x² + y² = 4

отнимем от третьего второе:

2x² = 2
x² = 1
x = -1 или x = 1

y² = 2 - x² = 2 - 1 = 1
y = -1 или y = 1

x⁹⁹y⁹⁹ = 3 - 3 + 1 = 1 => x и y одного знака

Ответ: (-1; -1) и (1; 1)