Question

3 9/14 х - 2 17/21=1 1/19​

Answer 1

Пошаговое объяснение:

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Answer 2

Если помогла, отметь этот ответ как brainiest

Answer 3

To solve the equation $\frac{3}{14}x - \frac{2}{17} = \frac{1}{19}$, you can follow these steps:

1. Clear the fractions by finding a common denominator.
2. Combine like terms.
3. Solve for $x$.

Let's go through these steps:

Step 1: Find a common denominator for 14, 17, and 19. In this case, the common denominator is $14 \times 17 \times 19$.

Step 2: Multiply both sides of the equation by the common denominator to clear the fractions.

$\left(14 \times 17 \times 19\right) \left(\frac{3}{14}x - \frac{2}{17}\right) = \left(14 \times 17 \times 19\right) \left(\frac{1}{19}\right)$

Simplify both sides.

$3x \times 17 \times 19 - 2 \times 14 \times 19 = 1 \times 14 \times 17$

Step 3: Combine like terms and solve for $x$.

$3x \times 323 - 2 \times 266 = 238$

$969x - 532 = 238$

Now, isolate $x$:

$969x = 238 + 532$

$969x = 770$

$x = \frac{770}{969}$

To simplify the fraction, you can find the greatest common divisor (GCD) of 770 and 969, and then divide both the numerator and denominator by the GCD.

However, please note that in this case, the numerator (770) and denominator (969) have a common factor of 7. So, you can simplify the fraction by dividing both the numerator and denominator by 7:

$x = \frac{110}{139}$

So, the solution to the equation is $x = \frac{110}{139}$.