Question

53-5,3ху-у+4,8ху-6упри х=4\13;у=13\7 ​

Answer 1

53 - 5,3ху - у + 4,8ху - 6у = 53 - (5,3ху - 4,8ху) - (6у + у) = 53 - 0,5ху - 7у

при х = 4/13; у = 13/7

53 - 0,5 · (4/13 · 13/7) - 7 · 13/7 = 53 - 1/2 · 4/7 - 13 = (53 - 13) - 2/7 = 40 - 2/7 = 39 целых 5/7.

Ответ: 39 целых 5/7.

Answer 2

To calculate the expression $53 - 5.3xy - y + 4.8xy - 6u$ given $x = \frac{4}{13}$ and $y = \frac{13}{7}$, you can substitute these values into the expression and simplify:

$x = \frac{4}{13}$ $y = \frac{13}{7}$

Now, substitute these values into the expression:

$53 - 5.3 \cdot \left(\frac{4}{13}\right) \cdot \left(\frac{13}{7}\right) - \frac{13}{7} + 4.8 \cdot \left(\frac{4}{13}\right) \cdot \left(\frac{13}{7}\right) - 6u$

Let's simplify this step by step:

1. Simplify the fractions inside the parentheses:

$53 - 5.3 \cdot \left(\frac{4}{13} \cdot \frac{13}{7}\right) - \frac{13}{7} + 4.8 \cdot \left(\frac{4}{13} \cdot \frac{13}{7}\right) - 6u$

2. Cancel out the common factors in the fractions:

$53 - 5.3 \cdot \left(\frac{4 \cdot 13}{13 \cdot 7}\right) - \frac{13}{7} + 4.8 \cdot \left(\frac{4 \cdot 13}{13 \cdot 7}\right) - 6u$

3. Calculate the values inside the parentheses:

$53 - 5.3 \cdot \left(\frac{52}{91}\right) - \frac{13}{7} + 4.8 \cdot \left(\frac{52}{91}\right) - 6u$

4. Perform the multiplications and subtractions:

$53 - \frac{275.6}{91} - \frac{13}{7} + \frac{249.6}{91} - 6u$

5. Continue simplifying:

$53 - 3.02 - \frac{13}{7} + 2.74 - 6u$

6. Now, subtract and add the numbers:

$49.72 - \frac{13}{7} - 6u$

7. To subtract the fractions, find a common denominator, which is 7:

$\frac{7 \cdot 49.72}{7} - \frac{13}{7} - 6u$

8. Subtract the fractions:

$49.72 - \frac{13}{7} - 6u$

Now, you have simplified the expression as much as possible:

$49.72 - \frac{13}{7} - 6u$