Question

Решите уравнение 0,5х=5/6*(8-х) Спасибо.

Answer 1

0,5 x = 5/6 * 8 - 5/6 * x
0,5 x + 5/6 x = 20/3
1/2 x + 5/6 x = 20/3
8/6 x = 20/3
4/3 x = 20/3
4x = 20
x = 5

Answer 2

To solve the equation 0.5x = (5/6) * (8 - x), we can follow these steps:

1. Distribute the (5/6) to both terms inside the parentheses: (5/6) * 8 - (5/6) * x

2. Simplify the equation: 40/6 - (5/6) * x = 0.5x

3. Convert the fractions to decimals: 6.67 - 0.83x = 0.5x

4. Move all the terms with x to one side of the equation: 0.5x + 0.83x = 6.67

5. Combine like terms: 1.33x = 6.67

6. Solve for x by dividing both sides of the equation by 1.33: x = 6.67 / 1.33

7. Calculate the value of x: x = 5

Therefore, the solution to the equation 0.5x = (5/6) * (8 - x) is x = 5.

Please let me know if you have any further questions!