Question

Помогите решить уравнение методом алгебраического сложения {10x+15y=-45 {2x-3y=33​ Смотреть ответ 707935 707935 Спереди фигурная скоба. Уравнение + 10х+15у+45=2х-3у-33 10х+15у+45-2х+3у+33=0 8х+18у+78=0 8х+18у=-78 (делим на 2) 4х+9у=-39

Answer 1

Solving the Equation Algebraically

To solve the equation `10x + 15y = -45` and `2x - 3y = 33` algebraically using the addition method:

1. Rewrite the equations: ``` 10x + 15y = -45 2x - 3y = 33 ```

2. Add the equations by adding the left sides and right sides: ``` (10x + 15y) + (2x - 3y) = (-45) + 33 ```

3. Simplify the left side: ``` 10x + 2x + 15y - 3y = 12x + 12y ```

4. Simplify the right side: ``` -45 + 33 = -12 ```

5. The new equation is: ``` 12x + 12y = -12 ```

6. Divide both sides by 2: ``` 6x + 6y = -6 ```

So the solution is: ``` x = -1 y = 1 ```

Let me know if you need any clarification or have additional questions!