Question

What is the undefined value for the equation 14=7x9+4x ?(1 point) Responses x≠−49 x does not equal Start Fraction negative 4 over 9 End Fraction x≠94 x does not equal Start Fraction 9 over 4 End Fraction x≠0 x does not equal 0 x≠−94

Answer 1

To determine the undefined value for the equation \( 14 = 7x9 + 4x \), we first need to simplify the equation.

The equation can be rewritten as:

\[
14 = 63x + 4x
\]

Combining the terms on the right, we have:

\[
14 = (63 + 4)x
\]

This simplifies to:

\[
14 = 67x
\]

Next, to solve for \( x \), we divide both sides of the equation by 67:

\[
x = \frac{14}{67}
\]

Now, the question asks for the "undefined value," which typically refers to values that would make the expression in the equation undetermined. In this case, there are no values of \( x \) that create an undefined situation in the context of basic algebra (as there's no division by \( x \) or a similar operation leading to undefined behavior).

From the options provided:
- **x ≠ −49**
- **x does not equal \(-\frac{4}{9}\)**
- **x ≠ 94**
- **x does not equal \(\frac{9}{4}\)**
- **x ≠ 0**
- **x ≠ -\frac{9}{4}**

Since our solution does not create any restrictions or undefined situations based on the equation \( 67x \), the expression \( x \neq 0 \) means \( x \) cannot be zero. However, there is no undefined value or restrictions on \( x \) for this equation involving division or square roots, etc.

To summarize, there isn't a specific undefined value associated with it, the closest possible candidate would just be \( x ≠ 0 \).

So the response would be: **x ≠ 0**.