Question

7/20x-2/15x+3/5x=1/2​

Answer 1

Ответ:

7/20х - 2/15х + 3/5х = 1/2

21х - 8х + 36х = 30

49х = 30

х = 30/49

Вот такой ответ! удачи)

Answer 2

To solve the equation, we need to find the value of 'x' that satisfies the equation:

$\frac{7}{20}x - \frac{2}{15}x + \frac{3}{5}x = \frac{1}{2}$

To make the equation easier to work with, let's find a common denominator for the fractions involved. The least common multiple (LCM) of 20, 15, and 5 is 60. So, we can rewrite the equation with all fractions having a denominator of 60:

$\frac{7}{20}x \cdot \frac{3}{3} - \frac{2}{15}x \cdot \frac{4}{4} + \frac{3}{5}x \cdot \frac{12}{12} = \frac{1}{2} \cdot \frac{30}{30}$

Simplifying:

$\frac{21}{60}x - \frac{8}{60}x + \frac{36}{60}x = \frac{30}{60}$

Combining the 'x' terms on the left-hand side:

$\frac{49}{60}x = \frac{30}{60}$

Now, to solve for 'x', we divide both sides by $\frac{49}{60}$:

$x = \frac{30}{60} \div \frac{49}{60}$

When dividing fractions, we multiply by the reciprocal of the second fraction:

$x = \frac{30}{60} \times \frac{60}{49}$

Simplifying:

$x = \frac{30}{49}$

So, the solution to the equation is:

$x = \frac{30}{49}$