Question

20 - 8 15/31 + х + 3 29/31 = 16 14/31​

Answer 1

Ответ:

х=1

Пошаговое объяснение:

20 - 263/31 + х + 122/31 = 510/31

479/31 + х = 510/31

х = 510/31 - 479/31

х= 31/31

х=1

Answer 2

To solve the equation:

20 - 8 15/31 + x + 3 29/31 = 16 14/31

You can start by simplifying both sides of the equation step by step.

On the left side:

1. Start with 20.
2. Subtract 8 15/31 from 20.
3. Add 3 29/31 to the result.

On the right side, you have 16 14/31.

Let's perform these calculations step by step:

1. 20 - 8 15/31 = 20 - (8 + 15/31) = 20 - (248/31 + 15/31) = 20 - (263/31).

2. Now, add 3 29/31 to this result: (20 - 263/31) + 3 29/31 = (20 + 3) - (263/31 - 29/31) = 23 - (234/31).

3. Now, subtract 16 14/31 from both sides:

(23 - 234/31) - 16 14/31 = (23 - 16) - (234/31 + 14/31) = 7 - (248/31).

So, the equation becomes:

7 - (248/31) = 0.

To solve for x, you can add (248/31) to both sides of the equation:

7 - (248/31) + (248/31) = 0 + (248/31),

7 = 248/31.

Now, to isolate x, subtract 7 from both sides:

7 - 7 = (248/31) - 7,

0 = 248/31 - 7.

Now, calculate the value on the right side:

0 = (248/31) - (7 * 31/31),

0 = (248 - 217) / 31,

0 = 31/31.

Since 31/31 equals 1, the equation simplifies to:

0 = 1.

This means there is no real solution for x in the given equation.