Question

1/8*(8/9у+8)-1/5*(5/6у+1 2/3)=2

Answer 1

Ответ:

Пошаговое объяснение:

1/8*(8/9у+8)-1/5*(5/6у+1 2/3)=2

1/9y + 1 - 1/6y - 1/3 = 2

2/18y - 3/18y + 2/3 = 2

-1/18y + 2/3 = 2

-1/18y = 2 - 2/3

-1/18y = 1 1/3

y = -1 1/3 : 1/18

y = -4/3 * 18

y = -24

======или

1/8*(8/9у+8)-1/5*(5/6у+1 2/3)=2

1/9y + 1 - 1/6y - 1/3 = 2 (умножим на 18)

2y + 18 - 3y - 6 = 36

-y + 12 = 36

y = 12 - 36

y = -24

Answer 2

Let's solve the given equation step by step.

$\frac{1}{8} \left( \frac{8}{9}y + 8 \right) - \frac{1}{5} \left( \frac{5}{6}y + \frac{5}{3} \right) = 2$

First, simplify the fractions inside the parentheses:

$\frac{1}{8} \left( \frac{8y}{9} + 8 \right) - \frac{1}{5} \left( \frac{5y}{6} + \frac{5}{3} \right) = 2$

Now, distribute the fractions:

$\frac{y}{9} + 1 - \frac{y}{6} - \frac{1}{3} = 2$

Combine like terms:

$\frac{y}{9} - \frac{y}{6} + 1 - \frac{1}{3} = 2$

To combine the fractions, find a common denominator, which is 18:

$\frac{2y - 3y}{18} - \frac{6 - 6}{18} = 2$

$\frac{-y}{18} = 2$

Multiply both sides by -18 to solve for y:

$-y = 36$

$y = -36$

Therefore, the solution to the given equation is $y = -36$.