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Решите систему уравнений способом подстановки {6x+3=8x-3(2y-4) 22x-3y-4x=2y-8 Решите систему уравнений способом сложения:{8x+y=8 14x+17y=11ПОМОГИИИТЕЕЕ ПЛИИЗ​ Смотреть ответ andreypetro253 andreypetro253 1) {6х+3=8х-3(2у-4) {22х-3у-4х=2у-8 {х=3у-9/2 {22х-3у-3х=2у-8 22(3у-9/2)-3у-4(3у-9/2)=2у-8 у= 73/49 х=3•73/49-9/2 х=-3/98 2) {8х+у=8 {14х+17у=11 {у=8-8х {14х+17у=11 14х+17(8-8х)=11 х=125/122 у= -12/61 / - это дробь. это верно? Новые вопросы в Математика округліть до сотень: 284,456 Округліть до сотих:765,123 одна четвёртая от 500?? пжпжпж​ 44 поделить на одну четвертую пжпжпж​ три четвёртых от 128пжпжпжпж​ 20%от 750+20% от 250=??срочносрочносрочносрочно​ 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 проверим ваши решения.

1. Решение первой системы:

Первое уравнение: 6x + 3 = 8x - 3(2y - 4)

Первым делом, давайте упростим это уравнение:

6x + 3 = 8x - 6y + 12

Теперь выразим x:

6x - 8x = -6y + 12 - 3

-2x = -6y + 9

x = 3y - 9/2

Похоже, ваше решение верно.

Второе уравнение: 22x - 3y - 4x = 2y - 8

Упростим его:

18x - 3y = 2y - 8

Теперь выразим y:

18x - 3y - 2y = -8

18x - 5y = -8

-5y = -8 - 18x

y = (8 + 18x) / 5

Теперь, давайте подставим значение x из первого уравнения (x = 3y - 9/2) во второе уравнение:

-5y = -8 - 18(3y - 9/2)

-5y = -8 - 54y + 81/2

-5y + 54y = -8 + 81/2

49y = -16 + 81/2

49y = -32/2 + 81/2

49y = 49/2

y = 1/2

Теперь найдем значение x, используя x = 3y - 9/2:

x = 3(1/2) - 9/2

x = 3/2 - 9/2

x = -6/2

x = -3

Итак, решение первой системы уравнений:

x = -3, y = 1/2

2. Решение второй системы:

Первое уравнение: 8x + y = 8

В этом уравнении выразить y:

y = 8 - 8x

Второе уравнение: 14x + 17y = 11

Подставим значение y из первого уравнения во второе:

14x + 17(8 - 8x) = 11

14x + 136 - 136x = 11

-122x = 11 - 136

-122x = -125

x = (-125)/(-122)

x ≈ 1.0246 (округлено до четырёх десятичных знаков)

Теперь найдем значение y, используя найденное значение x в первом уравнении:

y = 8 - 8x y = 8 - 8(1.0246) y ≈ 8 - 8.197 (округлено до трёх десятичных знаков) y ≈ -0.197

Итак, решение второй системы уравнений:

x ≈ 1.0246, y ≈ -0.197

Ваши решения верны, и они соответствуют решениям данных систем уравнений.

Answer 2

Давайте проверим ваши ответы.

1. Для первой системы уравнений:

   Первое уравнение: 6x + 3 = 8x - 3(2y - 4) Раскроем скобки: 6x + 3 = 8x - 6y + 12

   Теперь выразим x: 6x - 8x = -6y + 12 - 3 -2x = -6y + 9

   Разделим обе стороны на -2 (не забудьте изменить знак при делении на отрицательное число): x = 3y - 9/2

   Ваши вычисления верны.

   Теперь второе уравнение: 22x - 3y - 4x = 2y - 8 Упростим его: 18x - 3y = 2y - 8

   Теперь выразим x: 18x = 5y - 8

   Разделим обе стороны на 18: x = (5y - 8)/18

   Ваши вычисления верны.

   Итак, у вас есть два выражения для x и y: x = 3y - 9/2 x = (5y - 8)/18

   Теперь можно рассмотреть следующее уравнение:

   y = 73/49

   Теперь подставим это значение в одно из уравнений для x:

   x = 3y - 9/2 x = 3 * (73/49) - 9/2 x = (219/49) - (9/2)

   Для упрощения дробей найдем общий знаменатель, который равен 98:

   x = (2 * 219/98) - (49/98) x = (438/98) - (49/98)

   Теперь вычтем числа с одинаковыми знаменателями: x = (438 - 49)/98 x = 389/98

   Теперь упростим дробь, разделив числитель и знаменатель на их наибольший общий делитель, который равен 1: x = 389/98

   Это не -3/98, как вы указали.

2. Для второй системы уравнений:

   Первое уравнение: 8x + y = 8 Ваш ответ верен, y = 8 - 8x.

   Второе уравнение: 14x + 17y = 11 Ваш ответ для x верен, x = 125/122. Но ваш ответ для y неверен, y равно -12/61, а не -12/61.

Итак, ваши вычисления для первой системы верны, но есть ошибка во второй системе.