Question

1/6y -(0.5+8/9y)=1/9y-(1/3 y);

Answer 1

Решение:

1/6у-(0,5+8/9у)=1/9у-(1/3у)

1/6у-0,5+8/9у=1/9у-1/3у

3у-9-16у=2у-6у

-13у+4у=9

-9у=9

у=-1

Ответ: у=-1

Answer 2

To solve this equation, let's first simplify and isolate the variable y on one side:

1/6y - (0.5 + 8/9y) = 1/9y - (1/3y)

First, distribute the negative sign inside the parentheses on both sides:

1/6y - 0.5 - 8/9y = 1/9y - 1/3y

Now, combine like terms by adding or subtracting y terms on each side of the equation:

(1/6y - 8/9y) - 0.5 = (1/9y - 1/3y)

To combine the fractions, find a common denominator for the fractions on each side:

(3/18y - 16/18y) - 0.5 = (2/18y - 6/18y)

Now, perform the arithmetic on each side:

(3/18y - 16/18y) - 0.5 = (2/18y - 6/18y)

(-13/18y) - 0.5 = (-4/18y)

Now, we can combine the y terms on each side:

(-13/18y - 0.5) = (-4/18y)

Next, we want to get rid of the fractions by multiplying both sides of the equation by a common denominator, which in this case is 18:

18 * (-13/18y - 0.5) = 18 * (-4/18y)

This simplifies to:

-13y - 9 = -4y

Now, let's isolate the variable y on one side by adding 13y to both sides:

-13y + 13y - 9 = -4y + 13y

-9 = 9y

Finally, solve for y by dividing both sides by 9:

-9/9 = 9y/9

-1 = y

So, the solution to the equation is y = -1.