Question

13,1 (x-4,5): 0,5 = 5.​

Answer 1

$13.1(x - 4.5) \div 0.5 = 5 \\ \frac{131}{10} \times ( x- 4.5) \div 0.5 = 5 \\ \frac{131}{10} \times (x - \frac{9}{2}) \div 0.5 = 5 \\ \frac{131}{10} \times (x - \frac{9}{2} ) \div \frac{1}{2} = 5 \\ \frac{131}{10} \times (x - \frac{9}{2}) \times 2 = 5 \\ \frac{131}{5} \times (x - \frac{9}{2} ) = 5 \\ \frac{131}{5}x - \frac{1179}{10} = 5 \\ 262x - 1179 = 50 \\ 262x = 50 + 1179 \\ 262 = 1229 \\ x = \frac{1229}{262}$

Answer 2

To solve the equation 13.1(x - 4.5) / 0.5 = 5, we can follow these steps:

1. Multiply both sides of the equation by 0.5 to eliminate the denominator: 0.5 * 13.1(x - 4.5) / 0.5 = 0.5 * 5

Simplifying the equation:

2. Cancel out the denominators on the left side: 13.1(x - 4.5) = 2.5

3. Distribute 13.1 to the terms inside the parentheses: 13.1x - 13.1 * 4.5 = 2.5

4. Multiply: 13.1x - 58.95 = 2.5

5. Move the constant term (-58.95) to the right side by adding it to both sides: 13.1x = 2.5 + 58.95

   Simplifying further: 13.1x = 61.45

6. Divide both sides of the equation by 13.1 to solve for x: (13.1x) / 13.1 = 61.45 / 13.1

   Simplifying: x = 4.68854961832061

Therefore, the solution to the equation is x ≈ 4.69 (rounded to two decimal places).