Question

Способ алгебраического сложения решить систему уравнений.{4x+3y=-15 {5x+3y=-3​​ Смотреть ответ Zombynella Zombynella Ответ: В решении. Объяснение: Способ алгебраического сложения решить систему уравнений. {4x + 3y = -15 {5x + 3y = -3​​ Смысл метода алгебраического сложения в том, чтобы при сложении уравнений одно неизвестное взаимно уничтожилось. То есть, чтобы коэффициенты при неизвестном каком-то были одинаковыми, но с противоположными знаками. Для того, чтобы этого добиться, преобразовывают уравнения, можно умножать обе части уравнения на одно и то же число, делить. В данной системе нужно любое из уравнений умножить на -1: -4x - 3y = 15 5x + 3y = -3​​ Сложить уравнения: -4х + 5х - 3у + 3у = 15 - 3 х = 12; Теперь подставить значение х в любое из двух первоначальных уравнений и вычислить у: 5x + 3y = -3 3у = -3 - 5х 3у = -3 - 5*12 3у = -63 у = -63/3  (деление) у = -21; Решение системы уравнения: (12; -21). Проверка путём подстановки  вычисленных значений х и у в систему уравнений показала, что данное решение удовлетворяет данной системе уравнений. Новые вопросы в Алгебра помогите!!!!! оберіть біквадратне рівняння A)4x²-5x+3=0 B)4x³+3x-5=0 C)x⁴+5x-3=0 Допоможіть будь ласка даю 20 балів Допоможіть будь ласка терміново дам 20 балів за спам жалоби Автомобіль їхав 1,5 год зі швидкістю 62 км/год, 2,4 год зі швидкістю 65 км/год і 1,1 год зі швидкістю 60 км/год. Знайдіть середню швидкість руху автом … обіля на всьому шляху. СРОЧНО ДАЮ 100 балов !!!!! ПРОШУ НУЖНО ЧТОБЫ АТЕСТИРОВАЛИ 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

Solving a System of Equations using Algebraic Addition

To solve the system of equations {4x + 3y = -15} and {5x + 3y = -3} using algebraic addition, we need to eliminate one of the variables by adding or subtracting the equations. The goal is to make the coefficients of one variable the same but with opposite signs.

In this case, let's multiply the first equation by -1:

-4x - 3y = 15 5x + 3y = -3

Now, we can add the two equations together:

-4x + 5x - 3y + 3y = 15 - 3 x = 12

We have found the value of x, which is 12.

Next, we can substitute this value of x into one of the original equations to solve for y. Let's use the second equation:

5x + 3y = -3 5(12) + 3y = -3 60 + 3y = -3 3y = -3 - 60 3y = -63 y = -63/3 y = -21

Therefore, the solution to the system of equations is (x = 12, y = -21).

We can verify this solution by substituting the values of x and y back into the original equations:

For the first equation: 4x + 3y = -15 4(12) + 3(-21) = -15 48 - 63 = -15 -15 = -15 (True)

For the second equation: 5x + 3y = -3 5(12) + 3(-21) = -3 60 - 63 = -3 -3 = -3 (True)

Therefore, the solution (x = 12, y = -21) satisfies both equations and is the correct solution to the system.

I hope this explanation helps! Let me know if you have any further questions.