Question

3,1(1-3у)+у=2/5(у-14)​

Answer 1

Ответ:

$3.1(1 - 3y) + y = \frac{2}{5} (y - 14) \\ 3.1 - 9.3y + y = \frac{2}{5} y - \frac{28}{5} \\ \frac{31}{10} - 8.3y = \frac{2}{5} y - \frac{28}{5} \\ \frac{31}{10} - \frac{83}{10} y = \frac{2}{5} y - \frac{28}{5} \\ 31 - 83y = 4y - 56 \\ - 83y - 4y = - 56 - 31 \\ - 87y = - 87 \\ y = 1$

Answer 2

To solve the equation 3,1(1-3y) + y = 2/5(y-14), we can start by simplifying and rearranging the terms:

3.1(1-3y) + y = (2/5)(y-14)

3.1 - 9.3y + y = (2/5)y - 28/5

Combining like terms, we have:

-8.3y + 3.1 = (2/5)y - 28/5

Now, let's isolate the variable y. We can do this by moving all terms involving y to one side and the constant terms to the other side:

-8.3y - (2/5)y = -28/5 - 3.1

-41/5y - 2/5y = -140/5 - 3.1 (converting mixed numbers to fractions)

-43/5y = -140/5 - 3.1

-43/5y = (-140 - (3.1*5))/5

-43/5y = (-140 - 15.5)/5

-43/5y = -155.5/5

Next, we can simplify the equation further:

-43/5y = -31.1

To isolate y, we divide both sides by -43/5:

y = (-31.1)/(-43/5)

y = (-31.1) * (5/(-43))

y = 155.5/43

y ≈ 3.61627907

Therefore, the solution to the equation is y ≈ 3.61627907.