Question

(x + 2)/9 = (x -3)/2​

Answer 1

Пошаговое объяснение:

(х+2)/9=(х-3)/2

2(х+2)=9(х-3)

2х+4=9х-27

2х-9х= - 27-4

-7х= - 31

Х=31/7

Х=4 3/7

Answer 2

To solve the equation $\frac{{x + 2}}{9} = \frac{{x - 3}}{2}$, you can follow these steps:

1. Clear the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators. In this case, the LCM of 9 and 2 is 18.

   Multiply both sides by 18: $18 \cdot \frac{{x + 2}}{9} = 18 \cdot \frac{{x - 3}}{2}$

   This simplifies to: $2(x + 2) = 9(x - 3)$

2. Distribute on both sides:

   $2x + 4 = 9x - 27$

3. Get all the $x$-terms on one side and the constant terms on the other side. You can do this by subtracting $2x$ from both sides:

   $4 = 7x - 27$

4. Add 27 to both sides:

   $31 = 7x$

5. Finally, isolate $x$ by dividing both sides by 7:

   $x = \frac{31}{7}$

So, the solution to the equation is $x = \frac{31}{7}$.