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≠0 x does not equal 0 x≠−94 x does not equal Start Fraction negative 9 over 4 End Fraction x≠94 x does not equal Start Fraction 9 over 4 End Fraction

3 answers

To determine the undefined values for the equation \( 14 = 7 \cdot 9 + 4x \), we first need to simplify the equation and isolate \( x \).

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

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

  3. Rearranging the equation to solve for \( x \): \[ 4x = 14 - 63 \] \[ 4x = -49 \]

  4. Now divide both sides by 4: \[ x = \frac{-49}{4} \]

The question seems to be asking for values of \( x \) that cannot make the original equation valid. However, in this case, there are no restrictions placed on \( x \) other than that resulting from the solution we found.

Thus, \( x \) does not have any restrictions from this equation (for instance, it does not lead to any undefined operations such as division by zero). The expression would be valid for any real number.

Since the answer choices also include a specific value \( \frac{-49}{4} \) or constraints that might refer to other types of equations, but none here is directly apparent, select based on the values provided.

The closest choice that indicates a specific exclusion from the equation based on the problem-solving context would be that:

  • x does not equal \( \frac{-49}{4} \) if the question pertains to solutions excluding the calculated solution, but this answer is actually part of the defined set rather than undefined mathematically.

If you see listings of undefined conditions relevant here, none would technically be valid from the context of the equation presented.

Please recheck your initial question context or selections; you might be looking for specific undefined forms arising from shared mathematical types, but there's nothing undefined in the solution derived here.

so is it -4/9 or -9/4

Let's clarify what the conditions are for \( x \) in the equation \( 14 = 7 \times 9 + 4x \).

We previously derived:

  1. Substitute \( 7 \times 9 = 63 \) into the equation: \[ 14 = 63 + 4x \]

  2. Rearranging gives: \[ 4x = 14 - 63 \] \[ 4x = -49 \]

  3. Solving for \( x \): \[ x = \frac{-49}{4} \]

Given this context, if the question implies certain values are not acceptable or the set choices are range exclusions, you would need to compare \( -\frac{49}{4} \) against the choices presented.

The options you provided were:

  • \( x \neq -\frac{4}{9} \)
  • \( x \neq 0 \)
  • \( x \neq -\frac{9}{4} \)
  • \( x \neq \frac{9}{4} \)

Only one conclusion can be drawn here based on prior calculations:

Answer:

None from the given choices are directly related to the solution found earlier \( x = -\frac{49}{4} \).

However, if there is confusion about undefined conditions or interpretations of potential choices, note that from here:

  • \( -\frac{4}{9} \) and \( -\frac{9}{4} \) do not arise from the planned computation of \( x \).

Thus, clarify the question context since \( -\frac{49}{4} \) and how its division is resolved led to no undefined presenting from the direct equation stated.

If you cannot sense this aligns, please advise on specific mathematical constraints or forms referred to be examined in further detail!