Question

782. 5) 2/3 y - 1/3 = 5/9 y​

Answer 1

Ответ:

У=3

Пошаговое объяснение:

2/3у-1/3=5/9у

2/3у-5/9у=1/3

1/9у=1/3

У=1/3:1/9=1/3*9/1

У=3

Answer 2

To solve for the value of y in the equation (2/3)y - (1/3) = (5/9)y, you can follow these steps:

Step 1: Get rid of fractions by finding a common denominator, which is 9 in this case. Multiply every term in the equation by 9 to clear the fractions:

9 * [(2/3)y - (1/3)] = 9 * (5/9)y

This simplifies to:

(9/3)y - (3/3) = (5/9)y

Step 2: Simplify the equation further:

(3y - 1) = (5/9)y

Step 3: Isolate the variable y on one side of the equation by moving all terms involving y to one side and constants to the other side:

(3y - (5/9)y) = 1

To combine like terms, you need to find a common denominator, which is 9:

(9/9)(3y) - (5/9)y = 1

This simplifies to:

(27/9)y - (5/9)y = 1

Now, subtract the terms with y:

(27/9 - 5/9)y = 1

(22/9)y = 1

Step 4: Solve for y by isolating it. To do this, divide both sides by the coefficient of y (22/9):

[(22/9)y] / (22/9) = 1 / (22/9)

This simplifies to:

y = (9/22) * 1

y = 9/22

So, the solution to the equation (2/3)y - (1/3) = (5/9)y is y = 9/22.