Question

What is the undefined value for the equation 14=\frac{7x}{9+4x}

Answer 1

To find the undefined value for the equation \( 14 = \frac{7x}{9 + 4x} \), we need to determine when the denominator becomes zero, as division by zero is undefined.

The denominator of the fraction is \( 9 + 4x \). We can set this equal to zero to find the value of \( x \) that makes the expression undefined:

\[
9 + 4x = 0
\]

Now, solve for \( x \):

1. Subtract 9 from both sides:

\[
4x = -9
\]

2. Divide both sides by 4:

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

So, the value \( x = -\frac{9}{4} \) makes the denominator zero, and thus the equation becomes undefined at that point.

In conclusion, the undefined value for the equation is:

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