Question

4/22х-8/11=6/33-3/11х​

Answer 1

$\frac{4}{22} x - \frac{8}{11} = \frac{6}{33} - \frac{3}{11} x \\ \frac{4}{22} x + \frac{3}{11} x = \frac{6}{33} + \frac{8}{11} \\ 12x + 18x = 12 + 48 \\ 30x = 60 \\ x = 2 \\ reasonable$

Answer 2

Ответ:

$\frac{4}{22}x-\frac{8}{11}=\frac{6}{33}-\frac{3}{11}x$

$\frac{4}{22}x+\frac{3}{11}x=\frac{6}{33}+\frac{8}{11}$

$\frac{4}{22}x+\frac{6}{22}x=\frac{6}{33}+\frac{24}{33}$

$\frac{10}{22}x=\frac{30}{33}$

$\frac{5}{11}x=\frac{10}{11}$

$x=\frac{10}{11}/\frac{5}{11}$

$x=2$

Пошаговое объяснение:

Answer 3

To solve the equation $\frac{4}{22}x - \frac{8}{11} = \frac{6}{33} - \frac{3}{11}x$, you can follow these steps:

Step 1: Find a common denominator for the fractions on both sides of the equation. The least common denominator (LCD) is 33. Rewrite the fractions with this common denominator.

$\frac{4}{22}x - \frac{8}{11} = \frac{6}{33} - \frac{3}{11}x$ can be written as:

$\frac{2}{33}x - \frac{8}{11} = \frac{2}{33} - \frac{3}{11}x$

Step 2: Move all terms with x to one side of the equation and the constant terms to the other side. You can do this by adding $\frac{3}{11}x$ to both sides of the equation and adding $\frac{8}{11}$ to both sides.

$\frac{2}{33}x + \frac{3}{11}x = \frac{2}{33} + \frac{8}{11}$

Step 3: Combine like terms on both sides of the equation. On the left side, you have a common denominator of 33, so you can add the fractions:

$\frac{2}{33}x + \frac{3}{11}x = \frac{2}{33} + \frac{8}{11}$

Now, add the fractions on the right side:

$\frac{5}{33}x = \frac{2}{33} + \frac{24}{33}$

Step 4: Continue simplifying. On the right side, both fractions have the same denominator, so you can add them:

$\frac{5}{33}x = \frac{2 + 24}{33}$

$\frac{5}{33}x = \frac{26}{33}$

Step 5: Solve for x by multiplying both sides by the reciprocal of $\frac{5}{33}$, which is $\frac{33}{5}$:

$x = \frac{26}{33} \cdot \frac{33}{5}$

$x = \frac{26}{5}$

So, the solution to the equation is $x = \frac{26}{5}$.