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

1 answer

To find the value(s) that make the equation undefined, we need to identify any values of \( x \) that would make the denominator equal to zero. The equation you have provided seems to be:

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

In this case, we need to focus on the denominator \( 9x - 6 \). The equation is undefined when the denominator equals zero, so we set the denominator equal to zero:

\[ 9x - 6 = 0 \]

Now, solving for \( x \):

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

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