Question

8 9/19-(х-1/19)= 5 4/19

Answer 1

Відповідь:

х=3 5/19

Покрокове пояснення:

Answer 2

Ответ:

$x = \frac{63}{19} = 3 \frac{6}{19}$

Answer 3

To solve the equation $8 \frac{9}{19} - (x - \frac{1}{19}) = 5 \frac{4}{19}$, follow these steps:

Step 1: Convert mixed numbers to improper fractions.

$8 \frac{9}{19}$ can be written as $\frac{8 \cdot 19 + 9}{19} = \frac{152 + 9}{19} = \frac{161}{19}$.

$5 \frac{4}{19}$ can be written as $\frac{5 \cdot 19 + 4}{19} = \frac{95 + 4}{19} = \frac{99}{19}$.

So, the equation becomes:

$\frac{161}{19} - (x - \frac{1}{19}) = \frac{99}{19}$.

Step 2: Remove the parentheses by distributing the negative sign.

$\frac{161}{19} - x + \frac{1}{19} = \frac{99}{19}$.

Step 3: Isolate the variable $x$.

Subtract $\frac{1}{19}$ from both sides of the equation:

$\frac{161}{19} - \frac{1}{19} - x = \frac{99}{19}$.

Now, combine the fractions on the left side:

$\frac{160}{19} - x = \frac{99}{19}$.

Step 4: Solve for $x$.

To isolate $x$, subtract $\frac{160}{19}$ from both sides:

$-x = \frac{99}{19} - \frac{160}{19}$.

Now, subtract the fractions on the right side:

$-x = -\frac{61}{19}$.

Finally, multiply both sides by -1 to solve for $x$:

$x = \frac{61}{19}$.

So, the solution to the equation $8 \frac{9}{19} - (x - \frac{1}{19}) = 5 \frac{4}{19}$ is $x = \frac{61}{19}$.