Question

5/7 * х - 4 3/5 =1 1/3

Answer 1

Ответ:

решение смотри на фотографии

Пошаговое объяснение:

Answer 2

Ответ:
$x = 8 \frac{23}{75}$

Answer 3

To solve the equation $\frac{5}{7}x - \frac{4}{5} = 1 \frac{1}{3}$, follow these steps:

Step 1: Convert the mixed numbers to improper fractions. $1 \frac{1}{3}$ can be written as $\frac{4}{3}$, and $4 \frac{3}{5}$ can be written as $\frac{23}{5}$.

Step 2: Rewrite the equation with the improper fractions. So the equation becomes: $\frac{5}{7}x - \frac{4}{5} = \frac{4}{3}$.

Step 3: Get rid of the fractions by finding a common denominator for $7$, $5$, and $3$, which is $7 \cdot 5 \cdot 3 = 105$. Multiply each term in the equation by $105$ to eliminate the fractions: $105 \cdot \frac{5}{7}x - 105 \cdot \frac{4}{5} = 105 \cdot \frac{4}{3}$.

This simplifies to: $15x - 84 = 140$.

Step 4: Solve for $x$. Add $84$ to both sides: $15x = 224$.

Divide both sides by $15$: $x = \frac{224}{15}$.

Step 5: Simplify the fraction, if possible. $224$ is not divisible by $15$, so the fraction is already simplified.

Therefore, the solution to the equation is: $x = \frac{224}{15}$.