Question

X-2/3+1 1/21=-2 11/14

Answer 1

Ответ:

x - 2/3 = - ( 2 11/14 + 11/21 )

x - 2/3 = - 3 5/6

x = - ( 3 5/6 - 2/3 )

x = - 3 1/6

Answer 2

To solve the equation $\frac{X}{2/3} + \frac{1}{21} = -\frac{2}{11/14}$, you can follow these steps:

Step 1: Simplify the right side of the equation.

$-\frac{2}{11/14}$ is equivalent to $-\frac{2}{1} \cdot \frac{14}{11} = -\frac{28}{11}$.

So, the equation becomes:

$\frac{X}{2/3} + \frac{1}{21} = -\frac{28}{11}$.

Step 2: Solve for $X$.

To do this, first get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 3 for the left side and 231 for the right side.

$3 \cdot \frac{X}{2/3} + 231 \cdot \frac{1}{21} = -\frac{28}{11} \cdot 231$.

Now, simplify:

$3 \cdot X + 11 \cdot 1 = -28 \cdot 21$.

$3X + 11 = -588$.

Next, isolate $X$:

$3X = -588 - 11$.

$3X = -599$.

Now, divide by 3 to solve for $X$:

$X = \frac{-599}{3}$.

So, the solution for $X$ is:

$X = -\frac{599}{3}.$

You can leave it as a fraction or convert it to a decimal if needed.