Question

(9 21/25*x)-10 16/25=4 12/25​

Answer 1

9 21/25х = 4 12/25 + 10 16/25

9 21/25х = 15 3/25

х = 1 257/625

Пошаговое объяснение: чтобы решать такие уравнения, нужно переносить числа на одну сторону, а иксы на другую. Переводим 10 16/25 с противоположным знаком (был - стал +), затем как обычно выполняем действия - прибавляем, делим. Выходит ответ.

Надеюсь помог)

Answer 2

To solve the equation $9\frac{21}{25}x - 10\frac{16}{25} = 4\frac{12}{25}$, follow these steps:

Step 1: Subtract $10\frac{16}{25}$ from both sides of the equation to isolate the term with $x$:

$$9\frac{21}{25}x - 10\frac{16}{25} - 10\frac{16}{25} = 4\frac{12}{25} - 10\frac{16}{25}$$

Step 2: Simplify the right side of the equation:

$$9\frac{21}{25}x - 10\frac{16}{25} - 10\frac{16}{25} = 4\frac{12}{25} - \frac{250}{25}$$

$$9\frac{21}{25}x - 10\frac{16}{25} - 10\frac{16}{25} = \frac{12 - 250}{25}$$

$$9\frac{21}{25}x - 10\frac{16}{25} - 10\frac{16}{25} = \frac{-238}{25}$$

Step 3: Combine the terms on the left side of the equation:

$$9\frac{21}{25}x - 20\frac{16}{25} = \frac{-238}{25}$$

Step 4: Add $20\frac{16}{25}$ to both sides of the equation:

$$9\frac{21}{25}x - 20\frac{16}{25} + 20\frac{16}{25} = \frac{-238}{25} + 20\frac{16}{25}$$

$$9\frac{21}{25}x = \frac{-238}{25} + \frac{520}{25}$$

$$9\frac{21}{25}x = \frac{282}{25}$$

Step 5: Divide both sides by $9\frac{21}{25}$ to solve for $x$:

$$x = \frac{\frac{282}{25}}{9\frac{21}{25}}$$

Now, to simplify this division, we can convert it into a multiplication by taking the reciprocal of the denominator:

$$x = \frac{282}{25} \cdot \frac{25}{9\frac{21}{25}}$$

$$x = \frac{282}{25} \cdot \frac{25}{\frac{996}{25}}$$

Now, multiply the fractions:

$$x = \frac{282}{25} \cdot \frac{25}{\frac{996}{25}} = \frac{282}{\frac{996}{25}}$$

To divide by a fraction, you can multiply by its reciprocal:

$$x = \frac{282}{1} \cdot \frac{$$