What is the undefined value for the equation 14 = (7x)/(9 + 4x) (1 point) x ne0 x ne 9/4 x ne - 9/4 x ne - 4/9

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine the undefined values for the equation \( 14 = \frac{7x}{9 + 4x} \), we need to identify when the denominator is equal to zero, since division by zero is undefined.

The denominator is \( 9 + 4x \). Set it equal to zero and solve for \( x \):

\[
9 + 4x = 0
\]
\[
4x = -9
\]
\[
x = -\frac{9}{4}
\]

Thus, the value that makes the equation undefined is \( x = -\frac{9}{4} \).

The answer is: **x ne -9/4**.