Question

What value makes the equation −5=4−3x4−3x undefined?(1 point)
Responses

−43
negative Start Fraction 4 over 3 End Fraction

34
Start Fraction 3 over 4 End Fraction

−34
negative Start Fraction 3 over 4 End Fraction

43

Answer 1

To determine when the equation \(-5 = 4 - 3x4 - 3x\) is undefined, let's rewrite it in a simpler way.

The term \(3x4\) likely means \(3 \cdot 4\), which equals \(12\). So we can simplify the right-hand side:

\[
-5 = 4 - 12 - 3x
\]

This can be further simplified:

\[
-5 = -8 - 3x
\]

To isolate \(x\), we can add \(8\) to both sides:

\[
3 = -3x
\]

Now, dividing by \(-3\) gives:

\[
x = -1
\]

However, we need to check for conditions under which the equation might be undefined. Typically, an equation involving division or a square root could be undefined if we encounter division by zero or a negative number under a square root.

Given the provided responses, we need to understand the conditions under which substituting each would make the expressions undefined.

However, based solely on the response options presented and the assumption that there might be some other interpretation or miscommunication regarding the original equation, we can conclude it's necessary to check answer values.

On checking, none of the provided responses represents a scenario that inherently causes the equation to be undefined (like division by zero).

Thus, without further context or clarification on which specific part of the original equation is being evaluated for undefined conditions, we cannot pinpoint an answer from the supplied options.

Based on an assumption of potential context, perhaps using the choice relating to any fraction value might imply a necessity for division by zero. However, this isn't specified in the question.

If you can clarify or specify the part of the equation intended to be evaluated, or whether you're looking for a particular type or variable resulting in indefinity, please do so, and I can assist further!