Question

5x-1/6+7x-2/9=x-5/3 Помогите пожалуйста

Answer 1

(5х-1)/6 + (7х-2)/9 = (х-5)/3

Приводим обе части уравнения к общему знаменателю 18

(5х - 1) · 3 + (7х - 2) · 2 = (х - 5) · 6

15х - 3 + 14х - 4 = 6х - 30

29х - 7 = 6х - 30

29х - 6х = -30 + 7

23х = -23

х = -23 : 23

х = -1

Ответ: -1.

Answer 2

Equation Analysis

The given equation is: 5x - 1/6 + 7x - 2/9 = x - 5/3.

To solve this equation, we need to simplify and combine like terms on both sides of the equation. Let's break it down step by step:

1. Combine the x terms on the left side of the equation: 5x + 7x = 12x. 2. Combine the constant terms on the left side of the equation: -1/6 - 2/9 = -3/18 - 4/18 = -7/18. 3. Combine the constant terms on the right side of the equation: -5/3.

After combining the terms, the equation becomes: 12x - 7/18 = -5/3.

Solving the Equation

To solve the equation, we need to isolate the variable x. Let's continue solving step by step:

1. Move the constant term -7/18 to the right side of the equation by adding it to both sides: 12x = -5/3 + 7/18. 2. Simplify the right side of the equation: -5/3 + 7/18 = -30/18 + 7/18 = -23/18. 3. The equation now becomes: 12x = -23/18. 4. To solve for x, divide both sides of the equation by 12: x = (-23/18) / 12.

Now, let's simplify the right side of the equation:

x = (-23/18) / 12 = -23/18 * 1/12 = -23/216.

Therefore, the solution to the equation 5x - 1/6 + 7x - 2/9 = x - 5/3 is x = -23/216.

Please let me know if you need any further assistance!