Question

3 5/14 х -2 11/21х =1 1/9

Answer 1

Решение на фото.....

Answer 2

Ответ:

1 1/3

Пошаговое объяснение:

3 5/14х - 2 11/21х = 1 1/9

3 15/42х - 2 22/42х = 1 1/9

2 57/42х - 2 22/42х = 1 1/9

35/42х = 10/9

х = 10/9 : 35/42

х = 10/9 * 42/35

х = 2/3 * 14/7

х = 28/21

х = 4/3

х = 1 1/3

Answer 3

To solve the equation $3\frac{5}{14}x - 2\frac{11}{21}x = 1\frac{1}{9}$, follow these steps:

Step 1: Convert the mixed numbers to improper fractions. $3\frac{5}{14}x = \frac{3 \cdot 14 + 5}{14}x = \frac{43}{14}x$

$2\frac{11}{21}x = \frac{2 \cdot 21 + 11}{21}x = \frac{53}{21}x$

$1\frac{1}{9} = \frac{1 \cdot 9 + 1}{9} = \frac{10}{9}$

So, the equation becomes:

$\frac{43}{14}x - \frac{53}{21}x = \frac{10}{9}$

Step 2: Find a common denominator for the fractions on the left side of the equation, which is 42.

$\frac{3 \cdot 3 \cdot 14}{3 \cdot 2 \cdot 7}x - \frac{2 \cdot 2 \cdot 21}{2 \cdot 3 \cdot 7}x = \frac{10}{9}$

This simplifies to:

$\frac{9}{14}x - \frac{4}{7}x = \frac{10}{9}$

Step 3: Combine like terms on the left side of the equation:

$\frac{9}{14}x - \frac{4}{7}x = \frac{10}{9}$

$\left(\frac{9}{14} - \frac{4}{7}\right)x = \frac{10}{9}$

To subtract fractions, find a common denominator, which is 14 in this case:

$\left(\frac{9 \cdot 1}{14} - \frac{4 \cdot 2}{14}\right)x = \frac{10}{9}$

This simplifies to:

$\left(\frac{9 - 8}{14}\right)x = \frac{10}{9}$

$\frac{1}{14}x = \frac{10}{9}$

Step 4: Isolate the variable $x$:

To isolate $x$, multiply both sides of the equation by $\frac{14}{1}$:

$\frac{1}{14}x \cdot \frac{14}{1} = \frac{10}{9} \cdot \frac{14}{1}$

$x = \frac{140}{9}$

So, the solution to the equation is $x = \frac{140}{9}$, which can also be expressed as a mixed number:

$x = 15\frac{5}{9}$