Question

What is the undefined value for the equation 14=(7x)/(9+4x)

x≠0
x does not equal 0

x≠9/4
x does not equal Start Fraction 9 over 4 End Fraction

x≠(−4)/9
x does not equal Start Fraction negative 4 over 9 End Fraction

x≠(−9)/4
x does not equal Start Fraction negative 4 over 9 End Fraction

Answer 1

To find the values of \( x \) that would make the equation \( 14 = \frac{7x}{9 + 4x} \) undefined, we need to look at the expression \( \frac{7x}{9 + 4x} \).

The expression becomes undefined when the denominator is equal to zero. Thus, we set the denominator equal to zero and solve for \( x \):

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

So, the value of \( x \) that makes the equation undefined is:

\[
x \neq -\frac{9}{4}
\]

The other options listed (like \( x \neq 0 \) and \( x \neq -\frac{4}{9} \)) are not relevant to the equation being undefined. Therefore, the correct answer is:

**x ≠ -9/4 (x does not equal negative 9 over 4)**.