Question

3/7x+5/21x+1/3x=2/7​

Answer 1

Ответ:

$\frac{3}{7} x + \frac{5}{21} x + \frac{1}{3} x = \frac{2}{7} \\ 9x + 5x + 7x = 6 \\ 21x = 6 \\ x = \frac{6}{21} \\ x = \frac{2}{7} \\ check : \\ \frac{3}{7} \times \frac{2}{7} + \frac{5}{21} \times \frac{2}{7} + \frac{1}{3} \times \frac{2}{7} = \frac{2}{7} \\ \frac{2}{7} = \frac{2}{7} \\ answer : x = \frac{2}{7}$

Answer 2

To solve the equation $\frac{3}{7}x + \frac{5}{21}x + \frac{1}{3}x = \frac{2}{7}$, we'll first find a common denominator for the fractions. The least common multiple (LCM) of 7, 21, and 3 is 21.

Rewriting the fractions with a common denominator:

$\frac{9}{21}x + \frac{5}{21}x + \frac{7}{21}x = \frac{6}{21}$

Now, combine like terms:

$\frac{21}{21}x = \frac{6}{21}$

Simplify:

$x = \frac{6}{21}$

Further simplifying the fraction:

$x = \frac{2}{7}$

So, the solution to the equation is $x = \frac{2}{7}$.