Question

What is the undefined value for the equation 14=7x9+4x
?(1 point)
Responses

x≠0
x does not equal 0

x≠94
x does not equal Start Fraction 9 over 4 End Fraction

x≠−49
x does not equal Start Fraction negative 4 over 9 End Fraction

x≠−94

Answer 1

To find the undefined value in the equation \( 14 = 7 \cdot 9 + 4x \), we first simplify the equation.

Start by calculating \( 7 \cdot 9 \):
\[
7 \cdot 9 = 63
\]
So the equation becomes:
\[
14 = 63 + 4x
\]

Next, we want to isolate \( 4x \). Subtract \( 63 \) from both sides:
\[
14 - 63 = 4x
\]
\[
-49 = 4x
\]

Now, divide by \( 4 \) to solve for \( x \):
\[
x = \frac{-49}{4}
\]

The only potential undefined value arises when the variable appears in a way that could lead to division by zero. In this case, \( x \) can take any real value, but if we consider definitions that make a typical operation invalid, the focus would be on the context provided.

The choices provided include:
1. \( x \neq 0 \)
2. \( x \neq \frac{9}{4} \)
3. \( x \neq -\frac{49}{4} \)
4. \( x \neq -94 \)

The value we found for \( x \) is \( -\frac{49}{4} \), but none of the options explicitly require that \( x \) can't be any one number alone.

Since it appears that the query about undefined values might refer to when such a problem typically fails, we would concentrate on that specific outcome.

In conclusion, based on the equation given, \( x \) cannot equal \(-\frac{49}{4}\) as that's the value of \( x \). However, option 3 matches that requirement:

**x≠−94** is not directly relating to \( x = -\frac{49}{4} \).

Hence, based on the value computed, and the option closest to the computed result, the response that could be deemed relevant is:

**x ≠ -49.**