Question

(8у+4)/12-(12у-6)/12=(6-2у)/12​

Answer 1

(8у+4)/12-(12у-6)/12=(6-2у)/12​

Ответ:

Y = 2

Answer 2

To solve the equation:

(8у + 4)/12 - (12у - 6)/12 = (6 - 2у)/12,

we can simplify the equation by combining like terms and clearing the denominators.

First, let's work on the left side of the equation:

(8у + 4)/12 - (12у - 6)/12

To subtract the fractions, we need a common denominator, which in this case is 12. So, we can rewrite the equation as:

[(8у + 4) - (12у - 6)]/12

Next, let's simplify the numerator:

(8у + 4) - (12у - 6)

Distribute the negative sign in the second term:

8у + 4 - 12у + 6

Combine like terms:

(8у - 12у) + (4 + 6)

-4у + 10

Now, we have the simplified equation:

(-4у + 10)/12 = (6 - 2у)/12

Since the numerators and denominators are equal, we can set the numerators equal to each other:

-4у + 10 = 6 - 2у

Next, let's solve for у:

-4у + 2у = 6 - 10

-2у = -4

Divide both sides of the equation by -2:

у = (-4)/(-2)

у = 2

Therefore, the solution to the equation is у = 2.