Question

Складіть до текстів відповідні рівняння,розв'яжи їх.1)Якщо задумане число зменшити у 9 разів то одержимо 7.2)Якщо отриманне число збільшити у 7 разів то отримаємо 49.

Answer 1

Х:9=7        Хх7=49
х=9х7        Х=49:7
Х=63         Х=7

Answer 2

Formulating Equations and Solving Them

To solve the given problems, we can represent the unknown number as "x" and then form equations based on the given conditions.

1) If a number is decreased by 9 times, the result is 7. - Let's represent the unknown number as "x". - The equation for this condition is: ``` x / 9 = 7 ```

2) If the resulting number is increased by 7 times, the result is 49. - The equation for this condition is: ``` 7x = 49 ```

Solving the Equations

Now, let's solve these equations to find the value of the unknown number "x".

1) From the first condition: ``` x / 9 = 7 x = 9 * 7 x = 63 ```

2) Using the value of x from the first equation in the second condition: ``` 7x = 49 7 * 63 = 49 441 = 49 ```

The second equation does not hold true for the value of x obtained from the first equation. It seems there might be a mistake in the given conditions or the problem formulation.