Question

X+ (x + 5 1/3) = 46 5/6​

Answer 1

Ответ:

X = 62 1/4

Пошаговое объяснение:

X + (x + 5 1/3) = 46 5/6

X + x + 5 1/3 = 46 5/6

X + x + 16/3 = 281/6

2X + 16/3 = 281/6

2X = 281/6 - 16/3

2X = (281 - 32) / 6

2X = 249/6

X = 124 1/2 / 2

X = 62 1/4

Answer 2

To solve the equation $x + (x + \frac{5}{3}) = 46 \frac{5}{6}$, follow these steps:

1. Combine like terms on the left side of the equation:

   $x + x + \frac{5}{3} = 46 \frac{5}{6}$

   This simplifies to:

   $2x + \frac{5}{3} = 46 \frac{5}{6}$

2. To isolate $2x$, subtract $\frac{5}{3}$ from both sides of the equation:

   $2x = 46 \frac{5}{6} - \frac{5}{3}$

   To add these fractions, you need a common denominator, which is 6:

   $2x = \frac{277}{6} - \frac{10}{6}$

   $2x = \frac{277 - 10}{6}$

   $2x = \frac{267}{6}$

3. Now, simplify the right side:

   $2x = \frac{267}{6}$

4. To solve for $x$, divide both sides by 2:

   $x = \frac{267}{6 \cdot 2}$

   $x = \frac{267}{12}$

5. Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

   $x = \frac{267 ÷ 3}{12 ÷ 3}$

   $x = \frac{89}{4}$

So, the solution to the equation $x + (x + \frac{5}{3}) = 46 \frac{5}{6}$ is $x = \frac{89}{4}$.