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

Question

Write your answer in reduced fraction form, if applicable.

Answer 1

To find the undefined value for the equation \( 22 = \frac{4 + 5x}{9x - 6} \), we need to determine when the denominator of the right side is equal to zero, since division by zero is undefined.

The denominator is \( 9x - 6 \).

Setting the denominator equal to zero:

\[ 9x - 6 = 0 \]

Now, solve for \( x \):

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

Thus, the undefined value is \( x = \frac{2}{3} \).