Question

{3x+5y=10 3x-7y=4 Систему решить методом алгебраического сложения!!! Ответ должен быть (x=5/2;y=1/2 Смотреть ответ marina733071 marina733071 Ответ: подставим найденную переменную в первое уравнение Ответ :x=5/2,y=1/2 Если не трудно поставь лучшее решение да,конечно Это методом алгебраического сложения?

Answer 1

Solving the System of Equations using the Method of Algebraic Addition

To solve the system of equations using the method of algebraic addition, we need to eliminate one variable by adding or subtracting the equations. Let's solve the given system of equations step by step.

The given system of equations is: 1. 3x + 5y = 10 2. 3x - 7y = 4

To eliminate the variable "x," we can add the two equations together. Adding the equations eliminates the "x" term, allowing us to solve for "y."

Adding equation 1 and equation 2, we get: (3x + 5y) + (3x - 7y) = 10 + 4 Simplifying the equation, we have: 6x - 2y = 14

Now, we have a new equation: 3. 6x - 2y = 14

To solve for "y," we can rearrange equation 3: -2y = 14 - 6x Dividing both sides of the equation by -2, we get: y = (14 - 6x) / -2 Simplifying further, we have: 4. y = -7 + 3x

Now that we have the value of "y," we can substitute it back into one of the original equations to solve for "x." Let's substitute equation 4 into equation 1:

3x + 5(-7 + 3x) = 10 Expanding the equation, we get: 3x - 35 + 15x = 10 Combining like terms, we have: 18x - 35 = 10 Adding 35 to both sides of the equation, we get: 18x = 45 Dividing both sides of the equation by 18, we get: x = 45 / 18 Simplifying further, we have: 5. x = 5/2

Now that we have the values of "x" and "y," we can state the solution to the system of equations: x = 5/2 and y = 1/2.

Please note that the solution is based on the given system of equations and the method of algebraic addition.