Question

Решите системы уравнений 1. {5y-5x=4 7x-4y=-1 2. {4x+5y=1 8x-2y=38 3. {5a-4b=3 2a-3b=14 4. {8m-2n=11 2m+4n=8 Способ решения не важен. Посмотреть ответы krivenkomaria12 krivenkomaria12 1.Умножим первое уравнение на 7 и второе на 5, чтобы избавиться от коэффициента x во втором уравнении:{35y - 35x = 2835x - 20y = -5Сложим оба уравнения, чтобы избавиться от x:15y = 23Разделим оба выражения на 15, чтобы найти y:y = 23/15Подставим полученное значение y в любое из исходных уравнений, чтобы найти x:5y - 5x = 45(23/15) - 5x = 4x = -7/15Таким образом, решение системы уравнений равно (x, y) = (-7/15, 23/15).2.Умножим первое уравнение на 2, чтобы избавиться от коэффициента y во втором уравнении:{8x + 10y = 28x - 2y = 38Вычтем из первого уравнения второе, чтобы избавиться от x:12y = -36Разделим оба выражения на 12, чтобы найти y:y = -3Подставим полученное значение y в любое из исходных уравнений, чтобы найти x:4x + 5y = 14x + 5(-3) = 1x = 4Таким образом, решение системы уравнений равно (x, y) = (4, -3).3.Умножим второе уравнение на 2 и вычтем его из первого, чтобы избавиться от b:{a + 2b = -8a - 2b = 7Сложим оба уравнения, чтобы избавиться от b:2a = -1Разделим оба выражения на 2, чтобы найти a:a = -1/2Подставим полученное значение a в любое из исходных уравнений, чтобы найти b:5a - 4b = 35(-1/2) - 4b = 3b = -11/8Таким образом, решение системы уравнений равно (a, b) = (-1/2, -11/8).4.Умножим первое уравнение на 2 и вычтем его из второго, чтобы избавиться от m:{8m - 2n = 11-2m + 4n = -5Разделим оба выражения на -2, Продолжим решение системы уравнений 4:{8m - 2n = 11-2m + 4n = -5Умножим первое уравнение на 2 и второе уравнение на -2, чтобы избавиться от коэффициента n:{16m - 4n = 22-4m - 8n = 10Сложим оба уравнения, чтобы избавиться от n:12m = 32Разделим оба выражения на 12, чтобы найти m:m = 8/3Подставим полученное значение m в любое из исходных уравнений, чтобы найти n:8m - 2n = 118(8/3) - 2n = 11n = 8/3Таким образом, решение системы уравнений равно (m, n) = (8/3, 8/3). Yasyko Yasyko Ответ:1) {5y-5x =4 |4    7x-4y = -1  |5    { -20x + 20y = 16       35x - 20y = -5       15x = 11        x = 11/15 5y = 4 + (5 * 11/15)y ~ 7.6/5 ~ 1.52) { 4x + 5y = 1 | 2      8x - 2y = 38     { 8x + 10y = 2       8x - 2y = 38       12y = - 36        y = -34x = 1 - (5 * -3)x = -16/4 = -43) { 5a - 4b = 3 | 2      2a - 3b = 14 | 5     { 10a - 8b = 6       10a - 15b = 28       7b = -22       b ~ -3.143)   {8m-2n=11       2m+4n=8 |4       {8m-2n=11          8m+16n=32        n=-188m = 11 - (2* (-18))m = 47/8 = 5.875Объяснение: Фух, вроде все правильно‍ Новые вопросы в Алгебра Есепті теңдеулер жүйесiн пайдаланып шешу. Бiрi екiншiсiнен 4-ке артык, ал олардын квадраттарының косындысы 58-ге тен екi сан берілген. Сол сандарды та … быныз.срочноо керек​ Спростіть вираз: 1) ((−a⁶)⁵)⁹ 2) ((-a¹¹)²)³​ СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО СРОЧНО ​ 18x⁴, якщо х= -1/6Допоможіть, будь ласка​ (11/3)2-(31/3)8:(31/3)6= 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

Решение системы уравнений 1:

Умножим первое уравнение на 7 и второе на 5, чтобы избавиться от коэффициента x во втором уравнении:

{35y - 35x = 28 35x - 20y = -5

Сложим оба уравнения, чтобы избавиться от x:

15y = 23

Разделим оба выражения на 15, чтобы найти y:

y = 23/15

Подставим полученное значение y в любое из исходных уравнений, чтобы найти x:

5y - 5x = 4 5(23/15) - 5x = 4 x = -7/15

Таким образом, решение системы уравнений равно (x, y) = (-7/15, 23/15).

Решение системы уравнений 2:

Умножим первое уравнение на 2, чтобы избавиться от коэффициента y во втором уравнении:

8x + 10y = 28 8x - 2y = 38

Вычтем из первого уравнения второе, чтобы избавиться от x:

12y = -36

Разделим оба выражения на 12, чтобы найти y:

y = -3

Подставим полученное значение y в любое из исходных уравнений, чтобы найти x:

4x + 5y = 1 4x + 5(-3) = 1 x = 4

Таким образом, решение системы уравнений равно (x, y) = (4, -3).

Решение системы уравнений 3:

Умножим второе уравнение на 2 и вычтем его из первого, чтобы избавиться от b:

a + 2b = -8 a - 3b = 14

Сложим оба уравнения, чтобы избавиться от b:

2a = -1

Разделим оба выражения на 2, чтобы найти a:

a = -1/2

Подставим полученное значение a в любое из исходных уравнений, чтобы найти b:

5a - 4b = 3 5(-1/2) - 4b = 3 b = -11/8

Таким образом, решение системы уравнений равно (a, b) = (-1/2, -11/8).

Решение системы уравнений 4:

Умножим первое уравнение на 2 и вычтем его из второго, чтобы избавиться от m:

8m - 2n = 11 2m + 4n = 8

Разделим оба выражения на -2:

-4m + n = -5

Продолжим решение системы уравнений 4:

8m - 2n = 11 -4m + n = -5

Умножим первое уравнение на 2 и второе уравнение на -2, чтобы избавиться от коэффициента n:

16m - 4n = 22 8m + 16n = -10

Сложим оба уравнения, чтобы избавиться от n:

24m = 12

Разделим оба выражения на 24, чтобы найти m:

m = 1/2

Подставим полученное значение m в любое из исходных уравнений, чтобы найти n:

8m - 2n = 11 8(1/2) - 2n = 11 n = 8/3

Таким образом, решение системы уравнений равно (m, n) = (1/2, 8/3).