Question

3x+1/4 - x/6 = 1-x/8

Answer 1

Відповідь:

x = 18/71

Покрокове пояснення:

72x + 6 - 4x = 24 - 3x

68x + 6 = 24x - 3x

68x + 3x = 24 - 6

71x = 18

x = 18/71

Answer 2

To solve the equation 3x + 1/4 - x/6 = 1 - x/8, we need to simplify and rearrange the terms to isolate the variable x on one side of the equation. Let's go step by step:

1. Combine like terms: 3x - x/6 = 1 - x/8 + (-1/4)

2. Convert fractions to have a common denominator: Multiplying the first fraction by 6/6 and the second fraction by 24/24: (18x - x)/6 = (24 - 3x)/24

3. Simplify: (17x)/6 = (24 - 3x)/24

4. Cross-multiply: 24 * (17x) = 6 * (24 - 3x)

5. Distribute and simplify: 408x = 144 - 18x

6. Combine like terms: 408x + 18x = 144

7. Simplify: 426x = 144

8. Solve for x: x = 144/426

9. Simplify the fraction: x ≈ 0.3380 (rounded to four decimal places)

Therefore, the solution to the equation 3x + 1/4 - x/6 = 1 - x/8 is approximately x = 0.3380.