Question

Рівняння 800-4200:(31+Х)=740

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation $800 - \frac{{4200}}{{31 + X}} = 740$, follow these steps:

Step 1: Simplify the equation.

$$800 - \frac{{4200}}{{31 + X}} = 740$$

Step 2: Get rid of the fraction by multiplying both sides of the equation by $31 + X$.

$$(31 + X)(800 - \frac{{4200}}{{31 + X}}) = (31 + X)(740)$$

Step 3: Distribute on the left side of the equation.

$$800(31 + X) - 4200 = 740(31 + X)$$

Step 4: Expand the terms on both sides.

$$24800 + 800X - 4200 = 22940 + 740X$$

Step 5: Move the $X$ terms to one side of the equation and the constant terms to the other side.

$$800X - 740X = 22940 - 24800 + 4200$$

Step 6: Combine like terms.

$$60X = 19900$$

Step 7: Solve for $X$ by dividing both sides by 60.

$$X = \frac{{19900}}{{60}}$$

Step 8: Calculate the value of $X$.

$$X = 331.\overline{6}$$

So, the solution to the equation is approximately $X \approx 331.67$.