Question

5/6y - 1= 2/3y - 1/6

Answer 1

Ответ:

Пошаговое объяснение:

5/6y - 1= 2/3y - 1/6

5\6у-2\3у=1-1\6

5\6у-4\6у=5\6

1\6у=5\6

у=5\6:1\6

у=5\6*6

у=5

Answer 2

Ответ:5

Пошаговое объяснение:

5/6у-2/3у=1-1/6

1/6у=5/6

У= 5/6 : 1/6

У=5

Answer 3

To solve the equation $\frac{5}{6}y - 1 = \frac{2}{3}y - \frac{1}{6}$, we need to isolate $y$ on one side of the equation. Here's how you can do it step by step:

Step 1: Get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 6. This will eliminate the fractions from the equation.

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

Simplifying the equation:

$5y - 6 = 4y - 1$

Step 2: Now, let's get all the $y$ terms on one side and the constants on the other side. We do this by subtracting $4y$ from both sides:

$5y - 4y - 6 = 4y - 4y - 1$

Simplifying the equation:

$y - 6 = -1$

Step 3: Finally, isolate $y$ by adding 6 to both sides:

$y - 6 + 6 = -1 + 6$

Simplifying the equation:

$y = 5$

So, the value of $y$ that satisfies the equation is $y = 5$.