Question

7x-(6 1/2+3x)•2/6=13

Answer 1

Ответ:

1  29/36

Объяснение:

7x-(6 1/2+3x)•2/6=13

7х-(13/2 + 3х)*1/3 = 13

7х - 13/6 - х = 13

6х = 65/6

х=65/6 * 1/6

х=65/36 = 1  29/36

Answer 2

To solve the equation 7x - (6 1/2 + 3x) * 2/6 = 13, follow these steps:

1. Simplify the equation by dealing with the fractions and parentheses:

   7x - (6 1/2 + 3x) * 2/6 = 13

   First, convert the mixed number 6 1/2 into an improper fraction: 6 1/2 = 13/2.

   Now the equation becomes:

   7x - (13/2 + 3x) * 2/6 = 13

2. Simplify further by finding a common denominator for the fractions in the parentheses:

   7x - [(13/2) + (3x * 2/6)] = 13

   To find a common denominator, note that 6 is a common multiple of 2 and 6. So, we can rewrite (3x * 2/6) as (3x/6):

   7x - [(13/2) + (3x/6)] = 13

3. Now, combine the fractions within the parentheses:

   7x - [(13/2) + (3x/6)] = 13

   To add the fractions (13/2) and (3x/6), you need a common denominator of 2. So, rewrite (3x/6) as (x/2):

   7x - [(13/2) + (x/2)] = 13

4. Combine the fractions inside the parentheses:

   7x - (13/2 + x/2) = 13

   Now, add the fractions (13/2) and (x/2):

   7x - (13/2 + x/2) = 13 7x - (13/2 + 1/2)x = 13

5. Now, you can combine like terms by subtracting (13/2 + 1/2)x from 7x:

   7x - (13/2 + 1/2)x = 13 (7 - 7/2)x = 13

6. Continue to simplify by finding a common denominator for the coefficients of x:

   (7 - 7/2)x = 13

   The common denominator is 2:

   (14/2 - 7/2)x = 13

7. Subtract the fractions:

   (7/2)x = 13

8. To solve for x, multiply both sides of the equation by 2/7:

   x = (13 * 2) / 7 x = 26/7

So, the solution to the equation is:

x = 26/7 or approximately x ≈ 3.7143