Question

1)1/6 (x+9)=-1/3x 2) 3/4 (x+8)=2x+1 Найдите корни уравнения. Заранее спасибо!!!

Answer 1

1/6х+1/9*9=-1/3х
1/6х+1/3х=1
1/3х=1
х=1:1/3
х=3
3/4(х+8)=2х+1
3/4х+6=2х+1
3/4х-2х=1-6
-5/4х=-5(-1)
5/4х=5
х=5:5/4=5*4/5
х=4

Answer 2

Equation 1: 1/6 + (x + 9) = -1/3x + 2

To solve this equation, we need to simplify and isolate the variable x.

1. Multiply both sides of the equation by 6 to eliminate the fraction: ``` 6 * (1/6 + (x + 9)) = 6 * (-1/3x + 2) ``` Simplifying: ``` 1 + 6(x + 9) = -2x + 12 ```

2. Distribute 6 to the terms inside the parentheses: ``` 1 + 6x + 54 = -2x + 12 ```

3. Combine like terms: ``` 6x + 55 = -2x + 12 ```

4. Move all terms containing x to one side and the constant terms to the other side: ``` 6x + 2x = 12 - 55 ```

5. Simplify: ``` 8x = -43 ```

6. Divide both sides of the equation by 8 to solve for x: ``` x = -43/8 ```

Therefore, the solution to Equation 1 is x = -43/8.

Equation 2: 3/4 + (x + 8) = 2x + 1

To solve this equation, we will follow a similar process as in Equation 1.

1. Multiply both sides of the equation by 4 to eliminate the fraction: ``` 4 * (3/4 + (x + 8)) = 4 * (2x + 1) ``` Simplifying: ``` 3 + 4(x + 8) = 8x + 4 ```

2. Distribute 4 to the terms inside the parentheses: ``` 3 + 4x + 32 = 8x + 4 ```

3. Combine like terms: ``` 4x + 35 = 8x + 4 ```

4. Move all terms containing x to one side and the constant terms to the other side: ``` 4x - 8x = 4 - 35 ```

5. Simplify: ``` -4x = -31 ```

6. Divide both sides of the equation by -4 to solve for x: ``` x = -31/-4 ```

Therefore, the solution to Equation 2 is x = 31/4.

Please note that the solutions provided are based on the given equations.