Question

4 3/4 - (x - 2 5/8)=3 5/6​

Answer 1

Ответ:

х-2 5/8= 3 5/6+ 4 3/4

х-2 5/8= 3 20/24+ 4 18/24

х-2 5/8= 8 14/24

х= 2 5/8 + 8 14/24

х= 2 15/24 + 8 14/24

х=11 5/24

Answer 2

To solve the equation for x, you'll need to isolate x on one side of the equation. Here are the steps to solve it:

1. Subtract 4 3/4 from both sides of the equation to isolate the (x - 2 5/8) term:

   4 3/4 - (x - 2 5/8) = 3 5/6 - 4 3/4

2. Calculate the right side of the equation:

   3 5/6 - 4 3/4 = 19/6 - 19/4

   To subtract fractions, find a common denominator, which in this case is 12:

   (19/6) * (2/2) - (19/4) * (3/3) = 38/12 - 57/12

   Now, subtract the fractions:

   (38/12) - (57/12) = (38 - 57)/12 = -19/12

3. Now, rewrite the equation with the simplified right side:

   4 3/4 - (x - 2 5/8) = -19/12

4. To remove the parentheses, distribute the negative sign:

   4 3/4 - x + 2 5/8 = -19/12

5. Combine like terms on the left side. First, find a common denominator for 3/4 and 5/8, which is 8:

   (4 6/8) - x + (2 5/8) = -19/12

6. Now, add the whole numbers to their fractional parts:

   (4 6/8) - x + (2 5/8) = (4 + 6/8) - x + (2 + 5/8)

   (4 3/4) - x + (2 5/8) = (4 3/4) - x + (2 5/8)

7. Combine the fractions with the same denominator:

   (4 3/4) - x + (2 5/8) = (4 + 2) + (3/4 + 5/8) - x

   (6 3/4) - x + (2 5/8) = (6) + (6/8 + 5/8) - x

   (6 3/4) - x + (2 5/8) = (6) + (11/8) - x

8. Now, subtract 6 from both sides:

   (6 3/4) - x + (2 5/8) - 6 = (6) + (11/8) - x - 6

   (3/4) - x + (2 5/8) = 11/8 - x

9. Subtract (2 5/8) from both sides:

   (3/4) - x + (2 5/8) - (2 5/8) = 11/8 - x - (2 5/8)

   (3/4) - x = 11/8 - x - (2 5/8)

10. Add x to both sides:

    (3/4) - x + x = 11/8 - x + x

    (3/4) = 11/8 - x + x

    (3/4) = 11/8

Now, you have an equation that doesn't depend on x anymore, and you can see that there is no solution because 3/4 is not equal to 11/8. Therefore, the original equation has no solution.