Question

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

x≠0
x does not equal 0

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

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

x≠−9/4

Answer 1

To solve the equation \( 14 = 7 \cdot 9 + 4x \), we first simplify the left side:

1. Calculate \( 7 \cdot 9 \):
\[
7 \cdot 9 = 63
\]

2. Substitute back into the equation:
\[
14 = 63 + 4x
\]

3. Rearrange the equation to isolate \( 4x \):
\[
4x = 14 - 63
\]
\[
4x = -49
\]

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

Since the equation doesn’t lead to a fraction that indicates an undefined value, we look at the possible choices you provided:

None of the choices you listed indicate a potential value for \( x \) that would lead to an undefined situation in this context. Typically, an undefined value arises in equations with division by zero.

Therefore, if referring to the provided choices, the equation itself does not indicate restrictions based on the workings shown, thus implying that none of the options are applicable as undefined conditions for the equation provided.

If you consider the context of potential undefined values due to divisions in a more complex scenario, you would check for terms like \( x \) factors in denominators, but that is not applicable here.

Please provide clarity if there are any additional constraints or if you would like a different equation evaluated based on the context.