Question

1 2/9 - (х-1/6)=-2 1/3​

Answer 1

Ответ: x=3¹³/₁₈.

Пошаговое объяснение:

1²/₉-(х-(1/6))-=-2¹/₃

х-(1/6)=1²/₉+2¹/₃

x-(1/6)=(11/9)+(7/3)

x-(1/6)=(11+7*3)/9

x-(1/6)=(11+21)/9

x-(1/6)=32/9

x=(1/6)+(32/9)

x=(1*3+32*2)/18

x=(3+64)/18

x=67/18

x=3¹³/₁₈.

Answer 2

To solve the equation, let's first simplify the expressions on both sides of the equation and then isolate the variable (x). Here's the step-by-step solution:

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

2. Find a common denominator for the fractions. The common denominator for 9 and 6 is 18: 1 + (2/9)*18 - (x - 1/6)*18 = -2 1/3 * 18

3. Simplify the fractions on the left side: 1 + 4/18 - (18x - 3)/18 = -(7/3 * 18)

4. Convert the whole number on the right side into a fraction with the common denominator (3/1 * 18): 1 + 4/18 - (18x - 3)/18 = -(7/3 * 18/1)

5. Continue simplifying the equation: 1 + 4/18 - (18x - 3)/18 = -126/3

6. Convert the whole number 1 into a fraction with the common denominator (18/18): 18/18 + 4/18 - (18x - 3)/18 = -126/3

7. Combine the fractions on the left side: (18 + 4)/18 - (18x - 3)/18 = -126/3

8. Simplify the fractions further: 22/18 - (18x - 3)/18 = -126/3

9. Convert the whole number -126 into a fraction with the common denominator (3/1 * 18): 22/18 - (18x - 3)/18 = -378/3

10. Simplify the right side: 22/18 - (18x - 3)/18 = -126

11. Now, to isolate the variable (x), let's move the constant terms to the right side: (18x - 3)/18 = 22/18 - 126/18

12. Combine the fractions on the right side: (18x - 3)/18 = -104/18

13. Now, cross-multiply to solve for x: 18x - 3 = -104

14. Add 3 to both sides to isolate x: 18x = -104 + 3 18x = -101

15. Finally, divide by 18 to find the value of x: x = -101/18

So, the solution to the equation is: x = -101/18