Question

13/21-(х-2 5/7)=3/14​

Answer 1

Ответ:

Пошаговое объяснение:

13/21-(х-2 5/7)=3/14​

x - 2 5/7 = 13/21 - 3/14

x - 2 5/7 = 26/42 - 9/42

x - 2 5/7 = 17/42

x = 17/42 + 2 5/7

x = 17/42 + 2 30/42

x = 2 47/42

x = 3 5/42

Answer 2

To solve the equation:

13/21 - (x - 25/7) = 3/14

Let's simplify the expression step by step:

First, let's simplify (x - 25/7):

x - 25/7

To simplify further, we need a common denominator for subtraction:

x - (25/7 * 1)

Since 1 can be expressed as 7/7, we have:

x - (25/7 * 7/7)

x - 175/49

Now, let's substitute this back into the original equation:

13/21 - (x - 175/49) = 3/14

To simplify the equation, we need a common denominator for subtraction:

13/21 - (x - 175/49) = 3/14

The common denominator for 21 and 14 is 42, so let's multiply both sides of the equation by 42:

42 * (13/21) - 42 * (x - 175/49) = 42 * (3/14)

Simplifying:

2 * 13 - 42 * (x - 175/49) = 3 * 3

26 - 42 * (x - 175/49) = 9

Now, distribute the 42:

26 - 42x + (42 * 175/49) = 9

26 - 42x + 6 * 25 = 9 (Note: 42 * 175/49 simplifies to 6 * 25)

26 - 42x + 150 = 9

Combine like terms:

176 - 42x = 9

Subtract 176 from both sides:

-42x = 9 - 176

-42x = -167

Divide both sides by -42:

x = (-167) / (-42)

Simplifying the fraction:

x = 167/42

Therefore, the solution to the equation is:

x = 167/42, or approximately x = 3.976