Question

11/15-[x + 7/15]=1/15​

Answer 1

Ответ:1/5

Пошаговое объяснение:

11/15-(x+7/15)=1/15

11/15-7/15+x=1/15

4/15+x=1/15

x=4/15-1/15

x=3/15

x=1/5

Answer 2

To solve the equation 11/15 - (x + 7/15) = 1/15, you can follow these steps:

1. First, simplify the equation by subtracting 7/15 from both sides to isolate the term with 'x':

   11/15 - 7/15 - (x + 7/15) = 1/15 - 7/15

2. Simplify the left side of the equation:

   (11/15 - 7/15) - (x + 7/15) = -6/15 - (x + 7/15)

3. Continue to simplify:

   4/15 - (x + 7/15) = -6/15 - (x + 7/15)

4. Now, combine like terms on the left side by subtracting x from x:

   4/15 - 7/15 = -6/15 - (x + 7/15)

5. Simplify further:

   -3/15 = -6/15 - (x + 7/15)

6. Subtract -6/15 from both sides:

   -3/15 + 6/15 = -6/15 + 6/15 - (x + 7/15)

7. Continue to simplify:

   3/15 = 0 - (x + 7/15)

8. Now, simplify the right side by multiplying -1 by each term in the parentheses:

   3/15 = -x - 7/15

9. Add 7/15 to both sides to isolate 'x':

   3/15 + 7/15 = -x - 7/15 + 7/15

10. Simplify the left side:

10/15 = -x

11. Divide both sides by -1 to solve for 'x':

x = -10/15

12. Simplify the fraction:

x = -2/3

So, the solution to the equation is x = -2/3.