Question

3) 5/7x + 2 1/7 = 3 3/28 - 4/7x​

Answer 1

5/7x + 2 1/7 = 3 3/28 - 4/7x

4/7x + 5/7 =3 3/28 -2 1/7

9/7x =27/28

x= 27/28 : 9/7

x= 3/4

Ответ: x= 3/4

Answer 2

Ответ:

$x=1\frac{1}{3}$

Пошаговое объяснение:

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Проверка:

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Answer 3

To solve the equation $\frac{5}{7}x + \frac{2}{7} = \frac{3}{28} - \frac{4}{7}x$, we need to find the value of $x$.

Step 1: Get rid of fractions by finding a common denominator. The common denominator for all the fractions is $28$. So, we'll convert all fractions to have $28$ as the denominator.

$\frac{5}{7}x + \frac{2}{7} = \frac{3}{28} - \frac{4}{7}x$

To convert $\frac{5}{7}$ to have a denominator of $28$, we multiply the numerator and denominator by $4$:

$\frac{5}{7} \times \frac{4}{4} = \frac{20}{28}$

To convert $\frac{2}{7}$ to have a denominator of $28$, we multiply the numerator and denominator by $4$:

$\frac{2}{7} \times \frac{4}{4} = \frac{8}{28}$

Step 2: Rewrite the equation with the new fractions.

$\frac{20}{28}x + \frac{8}{28} = \frac{3}{28} - \frac{4}{7}x$

Step 3: Get the $x$ terms on one side and the constant terms on the other side.

Add $\frac{4}{7}x$ to both sides to move $\frac{4}{7}x$ terms to the left side:

$\frac{20}{28}x + \frac{4}{7}x + \frac{8}{28} = \frac{3}{28}$

Step 4: Combine like terms.

$\frac{ \left(20 + 4 \right) }{28}x + \frac{8}{28} = \frac{3}{28}$

$\frac{24}{28}x + \frac{8}{28} = \frac{3}{28}$

Step 5: Now, move the constant term $\frac{8}{28}$ to the right side by subtracting it from both sides.

$\frac{24}{28}x = \frac{3}{28} - \frac{8}{28}$

$\frac{24}{28}x = -\frac{5}{28}$

Step 6: Finally, solve for $x$ by dividing both sides by $\frac{24}{28}$.

$x = \frac{-\frac{5}{28}}{\frac{24}{28}}$

When dividing by a fraction, it's equivalent to multiplying by its reciprocal:

$x = -\frac{5}{28} \times \frac{28}{24}$

Now, simplify the expression:

$x = -\frac{5}{24}$