Question

X-6/x=8 2/9Help pls​

Answer 1

Ответ:

$\frac{ \times - 6}{x} = \frac{74}{9} \\ 9(x - 6) = 74x \\ 9x - 54 = 74x \\ 9x - 74x = 54 \\ - 65x = 54 \\ x = \frac{54}{65} \\ x = 0.83$

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Answer 2

To solve the equation (X-6)/X = 8 2/9, you'll want to isolate X. Here are the steps to do that:

1. Convert the mixed number 8 2/9 into an improper fraction. To do this, multiply the whole number (8) by the denominator of the fraction (9) and then add the numerator (2):

   8 * 9 + 2 = 72 + 2 = 74

   So, 8 2/9 is equivalent to the improper fraction 74/9.

2. Rewrite the equation with the improper fraction:

   (X-6)/X = 74/9

3. Cross-multiply to get rid of the fraction:

   9 * (X-6) = 74 * X

4. Distribute on the left side:

   9X - 54 = 74X

5. Now, let's isolate X on one side of the equation. Subtract 9X from both sides:

   -54 = 74X - 9X

   -54 = 65X

6. Finally, divide both sides by 65 to solve for X:

   X = -54 / 65

So, the solution to the equation (X-6)/X = 8 2/9 is:

X = -54/65