What is the undefined value for 22=4+ [5x/9x−6]?

Question

Write your answer in reduced fraction form, if applicable.

(1 point)
The undefined value is .

Answer 1

To find the undefined value for the equation

\[ 22 = 4 + \frac{5x}{9x - 6}, \]

we need to determine when the fraction \(\frac{5x}{9x - 6}\) is undefined. A fraction is undefined when its denominator is equal to zero. Thus, we set the denominator equal to zero and solve for \(x\):

\[ 9x - 6 = 0. \]

Adding 6 to both sides gives:

\[ 9x = 6. \]

Now, dividing both sides by 9:

\[ x = \frac{6}{9} = \frac{2}{3}. \]

So, the undefined value for \(x\) is

\[ \frac{2}{3}. \]

Thus, the answer is:

\[ \frac{2}{3}. \]