Question

-2/3(1/3х+1/2)=-3х+2 1/2​

Answer 1

Ответ:

Смотри решение на фото

Answer 2

To solve the equation (-2/3)(1/3x + 1/2) = -3x + 2 1/2, you'll need to simplify the equation and isolate the variable x. Follow these steps:

1. Distribute the -2/3 on the left side of the equation:

-2/3 * 1/3x - 2/3 * 1/2 = -3x + 2 1/2

This simplifies to:

(-2/9)x - 1/3 = -3x + 2 1/2

2. Move all terms involving x to one side of the equation and constants to the other side. To do this, add 3x to both sides and add 1/3 to both sides:

(-2/9)x + 3x = 2 1/2 + 1/3

3. Now, we have:

(3x - 2/9x) = 2 1/2 + 1/3

4. To add the fractions on the right side, find a common denominator, which is 6:

(3x - 2/9x) = 5/2 + 2/6

5. Now, add the fractions on the right side:

(3x - 2/9x) = 15/6 + 2/6

6. Combine the fractions on the right side:

(3x - 2/9x) = 17/6

7. Now, to simplify the equation, find a common denominator on the left side, which is 9:

(27x - 2x) = 17/6

8. Combine like terms on the left side:

25x = 17/6

9. To isolate x, divide both sides by 25:

x = (17/6) / 25

10. Now, simplify the right side by dividing:

x = (17/6) * (1/25) = 17/150

So, the solution to the equation is:

x = 17/150