Question

Розв'яжить систему рівнянь {x+y=3 -x+3y=13y= Смотреть ответ nikitayakimovv nikitayakimovv Ответ:(x,y) (18/11, 3/22)Пошаговое объяснение:Сначала упростим потом убираем одну из переменных путем сложения уравнения, разделяем обе стороны, ставим значение у, решаем уравнение

Answer 1

Solving the System of Equations

To solve the system of equations:

x + y = 3
-x + 3y = 13

We can use the method of substitution or elimination. Let's use the method of substitution.

1. Solve the first equation for x: ``` x = 3 - y ```

2. Substitute the value of x in the second equation: ``` -(3 - y) + 3y = 13 ```

3. Simplify and solve for y: ``` -3 + y + 3y = 13 4y - 3 = 13 4y = 16 y = 16/4 y = 4/1 y = 4 ```

4. Substitute the value of y back into the first equation to find x: ``` x + 4 = 3 x = 3 - 4 x = -1 ```

Therefore, the solution to the system of equations is (x, y) = (-1, 4).

Please let me know if you have any further questions!