Question

10-2,5x/9=3,5x-14/3و​

Answer 1

Ответ:

3(10-2,5х)=9(3.5х-14)

156=39х

4=х

Answer 2

Ответ:

В объяснении.

Пошаговое объяснение:

10-2,5х/9=3,5х-14/3

10-5х/18=7/2х-14/3 |*18

180-5х=63х-84

-5х-63х= -84-180

-68х= -264

х=66/17=3 15/17

Answer 3

To solve the equation $10 - \frac{5x}{9} = \frac{3.5x - \frac{14}{3}}{1}$, follow these steps:

Step 1: Get rid of fractions. Multiply both sides of the equation by 9 to eliminate the fraction on the left side and by 3 to eliminate the fraction on the right side.

9 \cdot \left(10 - \frac{5x}{9}\right) = 3 \cdot \left(\frac{3.5x - \frac{14}{3}}{1})

This simplifies to:

$90 - 5x = 10.5x - 14$

Step 2: Move like terms to opposite sides of the equation. Add 5x to both sides of the equation and add 14 to both sides of the equation.

$90 - 5x + 5x + 14 = 10.5x - 5x + 14$

This simplifies to:

$104 = 5.5x$

Step 3: Solve for x. Divide both sides by 5.5 to isolate x.

$\frac{104}{5.5} = \frac{5.5x}{5.5}$

This simplifies to:

$x = 18.9091$ (rounded to four decimal places)

So, the solution to the equation is $x \approx 18.9091$.