Question

1 1/9 - (х-1/6)=-2 1/3​

Answer 1

Ответ:

Пошаговое объяснение:

1  1/9-х+1/6=- 2  1/3.

1 1/9+1/6+2 1/3=х.

3 (2+3+6)/18=3  11/18.

Answer 2

To solve the equation, we need to find the value of the variable "x". Let's start by simplifying the equation step by step:

1. Distribute the negative sign on the left side of the equation: 1 1/9 - x + 1/6 = -2 1/3

2. Combine the whole numbers and fractions separately on the left side: 10/9 - x + 1/6 = -7/3

3. Find a common denominator for 9 and 6, which is 18: (10/9) * 2 - x * 2 + (1/6) * 3 = (-7/3) * 6

4. Now, rewrite the equation: 20/18 - 2x/18 + 3/18 = -42/18

5. Combine the fractions on the left side: (20 - 2x + 3)/18 = -42/18

6. Simplify further: (23 - 2x)/18 = -42/18

7. Now, let's isolate "x" by multiplying both sides by 18 to get rid of the denominator: 18 * (23 - 2x)/18 = 18 * (-42/18)

The 18 on the left side cancels out: 23 - 2x = -42

8. Now, isolate "x" on one side by moving the constant term to the other side: -2x = -42 - 23

9. Simplify: -2x = -65

10. Finally, divide by -2 to solve for "x": x = -65 / -2 x = 65/2 x = 32.5

So, the solution to the equation is x = 32.5.