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.
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