Question

10 /6-x = 4\X+2 Решите уравнение пожалуйста

Answer 1

10/6+х=4/х+2
10х+20=4х+24
6х=4
Х=2/3

Answer 2

Solving the Equation

To solve the equation 10 / (6 - x) = 4 / (x + 2), we can follow these steps:

1. Cross-multiply to eliminate the fractions. 2. Simplify the equation. 3. Solve for x.

Let's go through each step in detail:

1. Cross-multiply to eliminate the fractions:

10 / (6 - x) = 4 / (x + 2)

Cross-multiplying gives us:

10(x + 2) = 4(6 - x)

2. Simplify the equation:

Distribute and simplify both sides of the equation:

10x + 20 = 24 - 4x

Combine like terms:

10x + 4x = 24 - 20

Simplify:

14x = 4

3. Solve for x:

Divide both sides of the equation by 14:

x = 4 / 14

Simplify the fraction:

x = 2 / 7

Therefore, the solution to the equation 10 / (6 - x) = 4 / (x + 2) is x = 2 / 7.

Please let me know if you need any further assistance!