Question

5 2 13 − (х − 5 13) = 1 4 13 .

Answer 1

Ответ:

5 2/13 - (x-5/13) = 1 4/13

5 2/13 - x + 5/13 = 1 4/13

5 7/13 - х = 1 4/13

х = 5 7/13 - 1 4/13

х = 4 3/13

Answer 2

To solve the equation:

5/2 * 13 - (x - 5/13) = 14/13

First, simplify the equation step by step:

1. Multiply 5/2 by 13:

(5/2) * 13 = 65/2

So, the equation becomes:

65/2 - (x - 5/13) = 14/13

2. Distribute the negative sign inside the parentheses:

65/2 - x + 5/13 = 14/13

3. Now, isolate the term with 'x' on the left side of the equation. To do this, move the other terms to the right side:

65/2 - 5/13 - 14/13 = x

4. Find a common denominator for the fractions on the left side (which is 26), and perform the subtraction:

(65/2) - (5/13) - (14/13) = x

Now, subtract the fractions:

(65/2) - (5/13) - (14/13) = (845/26) - (65/26) = 780/26 = 390/13

So, the solution to the equation is:

x = 390/13