
7 1/3x - 3 1/7= 19 13 /21решите пж СРОЧНО


Ответы на вопрос

7 1/3х = 19 13/21 + 3 1/7
7 1/3х = 19 13/21 + 3 3/21
7 1/3х = 22 16/21
х = 22 16/21 : 7 1/3
х = 3 8/77
Ответ: 3 8/77



To solve the equation 7 1/3x - 3 1/7 = 19 13/21, we can follow these steps:
Step 1: Convert all the mixed numbers to improper fractions. - 7 1/3 can be written as 22/3. - 3 1/7 can be written as 22/7. - 19 13/21 can be written as 412/21.
So, the equation becomes: (22/3)x - (22/7) = 412/21.
Step 2: Simplify the equation by multiplying through by the least common denominator (LCD) to eliminate the fractions. The LCD of 3, 7, and 21 is 21. Multiply every term in the equation by 21 to get rid of the fractions.
21 * (22/3)x - 21 * (22/7) = 21 * (412/21).
This simplifies to: 22 * 7x - 22 * 3 = 412.
Step 3: Solve the resulting equation. 154x - 66 = 412.
To isolate the variable x, we need to get rid of the constant term on the left side of the equation. We can do this by adding 66 to both sides.
154x - 66 + 66 = 412 + 66.
This simplifies to: 154x = 478.
Finally, divide both sides of the equation by 154 to solve for x.
(154x)/154 = 478/154.
This simplifies to: x = 478/154.
To further simplify the fraction, we can find the greatest common divisor (GCD) of 478 and 154, which is 2. Divide both the numerator and denominator by 2.
478/2 ÷ 154/2 = 239/77.
Therefore, the solution to the equation 7 1/3x - 3 1/7 = 19 13/21 is x = 239/77.
Please note that this solution has been calculated based on the given equation. If there are any errors or if the equation was not accurately provided, please double-check the equation and let me know.


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