Question

5/6(1/3x-1/5)=3x+31/3

Answer 1

Ответ:

x= 561 дробь 5

Пошаговое объяснение:

Посмотри в photomath

Answer 2

Ответ:

6283

638

Пошаговое объяснение:

Поэтому я и не хочу

Answer 3

To solve the equation $\frac{5}{6} \left( \frac{1}{3}x - \frac{1}{5} \right) = 3x + \frac{31}{3}$, follow these steps:

Step 1: Distribute the $\frac{5}{6}$ on the left side of the equation:

$\frac{5}{6} \cdot \frac{1}{3}x - \frac{5}{6} \cdot \frac{1}{5} = 3x + \frac{31}{3}$

Step 2: Simplify the fractions:

$\frac{5}{18}x - \frac{5}{30} = 3x + \frac{31}{3}$

To make the fractions easier to work with, you can find a common denominator. The least common denominator for 18 and 30 is 90, so we'll rewrite the fractions with this denominator:

$\frac{5}{18}x - \frac{3}{90} = 3x + \frac{31}{3}$

Step 3: Multiply both sides of the equation by 90 to eliminate the fractions:

$90 \left(\frac{5}{18}x - \frac{3}{90}\right) = 90 \left(3x + \frac{31}{3}\right)$

On the left side, the 90 in the second fraction cancels with the 90 on the denominator:

$\frac{5}{18}x \cdot 90 - 3 = 3x \cdot 90 + 31 \cdot 30$

Step 4: Simplify both sides of the equation:

$\frac{5}{18}x \cdot 90 - 3 = 270x + 930$

Now, distribute the constants:

$\frac{5}{18}x \cdot 90 - 3 = 270x + 930$

$\frac{5}{18} \cdot 90x - 3 = 270x + 930$

$\frac{5}{2}x - 3 = 270x + 930$

Step 5: Move the variable terms to one side of the equation and the constant terms to the other side:

$\frac{5}{2}x - 270x = 930 + 3$

Combine like terms:

$\left(\frac{5}{2} - 270\right)x = 933$

Step 6: Now, isolate $x$ by dividing both sides by $\frac{5}{2} - 270$:

$x = \frac{933}{\frac{5}{2} - 270}$

To simplify the right side further, divide 933 by $\frac{5}{2} - 270$:

$x = \frac{933}{\frac{5}{2} - 270} \approx -465.75$

So, the solution to the equation is approximately $x \approx -465.75$.