Question

What is the undefined value for the equation 14=7x9+4x
?

(1 point)
Responses

​x≠−94

​x≠94


x≠0
x is not equal to 0

​x≠−49

Answer 1

To find the undefined value for the equation \( 14 = 7 \times 9 + 4x \), we first need to simplify the equation.

Starting with the right side:

1. Calculate \( 7 \times 9 = 63 \).
2. Then, substitute that back into the equation:

\[
14 = 63 + 4x
\]

3. Next, isolate \( 4x \) by subtracting 63 from both sides:

\[
14 - 63 = 4x \\
-49 = 4x
\]

4. Now, solve for \( x \):

\[
x = \frac{-49}{4}
\]

There are no restrictions or undefined values in this equation based on the operations performed. The options listed do not include \( x = -\frac{49}{4} \). However, since the context suggests looking for 'undefined values', the closest option relative to the calculations would be to analyze it further.

Since there are no operations leading to an undefined state (like division by zero) within the equation, we find that none of the provided options correctly represent an undefined value related solely to the algebraic solution of the equation.

Thus, the correct answer would indicate which values \( x \) is not equal to, based on the operations we performed:

1. The options provided suggest values that could possibly refer to errors in interpreting the question.
2. The choice \( x \neq -49 \) could be inferred based on our derived value leading us back to consider \( x \) not being equal to any specific algebraic results derived from this linear equation.

Overall, there can be ambiguity without specific calculus context, but the answer **most reflective of solutions** (albeit not structurally undefined) here is:

**x ≠ -49.**