Question

7/9 х - 5/18 = - 3 ​

Answer 1

Ответ:

$\frac{7}{9} x - \frac{5}{18} = - 3$

$\frac{7}{9} x = - 3 + \frac{5}{18}$

$\frac{7}{9} x = \frac{5 - 54}{18}$

$\frac{7}{9} x = - \frac{49}{18}$

$x = - \frac{49}{18} \div \frac{7}{9}$

$x = - \frac{49}{18} \times \frac{9}{7}$

$x = - \frac{7}{2}$

Answer 2

To solve the equation for x, follow these steps:

Step 1: Clear the fractions by finding a common denominator for the fractions on the left-hand side of the equation. The common denominator for 9 and 18 is 18.

Step 2: Rewrite the fractions with the common denominator and perform the calculations.

Step 3: Solve for x.

Let's go through each step in detail:

Step 1: Clear the fractions The given equation is:

$\frac{7}{9}x - \frac{5}{18} = -3$.

To clear the fractions, we'll multiply every term by 18 (the common denominator):

$18 \cdot \frac{7}{9}x - 18 \cdot \frac{5}{18} = -3 \cdot 18$.

Step 2: Rewrite the fractions and perform calculations $14x - 5 = -54$.

Step 3: Solve for x Add 5 to both sides of the equation: $14x = -54 + 5$, $14x = -49$.

Now, divide both sides by 14 to solve for x: $x = \frac{-49}{14}$, $x = -\frac{49}{14}$.

To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 7: $x = -\frac{7}{2}$.

So, the solution to the equation is $x = -\frac{7}{2}$ or -3.5.