Question

Решение системы уравнений{2x-y=1 {3x+2y=12Пожалуйста помогите​ Смотреть ответ jmotescu jmotescu Ответ:x=2 y=3Объяснение:На картинке

Answer 1

Solution to the System of Equations:

To solve the system of equations:

2x - y = 1
3x + 2y = 12

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

1. Solve the first equation for x: ``` 2x - y = 1 2x = y + 1 x = (y + 1) / 2 ```

2. Substitute the value of x in the second equation: ``` 3((y + 1) / 2) + 2y = 12 (3y + 3) / 2 + 2y = 12 (3y + 3) + 4y = 24 3y + 3 + 4y = 24 7y + 3 = 24 7y = 24 - 3 7y = 21 y = 21 / 7 y = 3 ```

3. Substitute the value of y back into the first equation to find x: ``` x = (y + 1) / 2 x = (3 + 1) / 2 x = 4 / 2 x = 2 ```

Therefore, the solution to the system of equations is x = 2 and y = 3.

Please note that the explanation provided above is based on the given system of equations and the method of substitution.