Question

0.6/(0.25Х + 0.5) – (0.2Х+0.4)/ (0.5Х2 +2Х +2) - упростить Вычислить (3х – 8у)/у если х/у=5

Answer 1

(3х-8y)/y=5
Ограничение 20 симвл.

Answer 2

To simplify the given expression and calculate $\frac{{3x - 8y}}{y}$ given $x/y = 5$, let's follow these steps:

1. Substitute $x/y = 5$ into the expression and simplify.
2. Calculate $\frac{{3x - 8y}}{y}$ using the given value of $x/y = 5$.

Let's proceed step by step:

1. Substitute $x/y = 5$ into the given expression:

   $$\frac{0.6}{0.25 \times 5 + 0.5} - \frac{0.2 \times 5 + 0.4}{0.5 \times 5^2 + 2 \times 5 + 2}$$

   Simplifying the expressions in the numerator and denominator:

   $$= \frac{0.6}{1.75} - \frac{1}{15} = \frac{0.6}{1.75} - \frac{1}{15}$$

   To subtract these fractions, we need a common denominator, which is $15 \times 1.75 = 26.25$. So:

   $$= \frac{0.6 \times 15}{26.25} - \frac{1.75}{26.25} = \frac{9}{26.25} - \frac{1.75}{26.25}$$

   Subtracting the fractions:

   $$= \frac{9 - 1.75}{26.25} = \frac{7.25}{26.25}$$

2. Calculate $\frac{{3x - 8y}}{y}$ using $x/y = 5$:

   $$\frac{{3x - 8y}}{y} = \frac{{3 \times 5 - 8y}}{y} = \frac{{15 - 8y}}{y}$$

Now we have the simplified expression $\frac{7.25}{26.25}$ and the expression $\frac{{3x - 8y}}{y}$ in terms of $y$. If you want further simplification or a specific numerical value, please let me know.