Question

(5,8x-40,1):10,8=(3,2х-23,9):(-2,4)

Answer 1

Ответ:

$\frac{5,8x-40,1}{10,8} = \frac{3,2x-23,9}{-2,4} \\\\2(5,8x - 40,1) = -9(3,2x - 23,9) \\\\11,6x - 80,2 = -28,8x + 215,1\\\\11,6x + 28,8x = 215,1 + 80,2\\\\40,4x = 295,3\\\\x = \frac{295,3}{40,4}$

Answer 2

To solve the equation (5,8x - 40,1) : 10,8 = (3,2x - 23,9) : (-2,4), we need to simplify and solve for the variable x.

First, let's simplify each side of the equation:

On the left side: (5,8x - 40,1) : 10,8

To simplify, divide each term inside the parentheses by 10,8:

5,8x / 10,8 - 40,1 / 10,8

Simplifying further:

0,537x - 3,704

On the right side: (3,2x - 23,9) : (-2,4)

To simplify, divide each term inside the parentheses by -2,4:

(3,2x) / (-2,4) - 23,9 / (-2,4)

Simplifying further:

-1,333x + 9,958

Now that we have simplified expressions on both sides, we can set them equal to each other and solve for x:

0,537x - 3,704 = -1,333x + 9,958

To isolate the variable x, let's move all terms containing x to one side of the equation:

0,537x + 1,333x = 9,958 + 3,704

Simplifying:

1,87x = 13,662

Now, divide both sides of the equation by 1,87 to solve for x:

x = 13,662 / 1,87

Calculating:

x ≈ 7.307

Therefore, the solution to the equation is x ≈ 7.307.