Question

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

−43
negative Start Fraction 4 over 3 End Fraction

43
Start Fraction 4 over 3 End Fraction

34
Start Fraction 3 over 4 End Fraction

−34

Answer 1

To determine what value makes the equation \(-5 = 4 - 3x + 4 - 3x\) undefined, let’s first simplify the equation.

Combine like terms on the right side:

\[
4 + 4 = 8 \quad \text{and} \quad -3x - 3x = -6x
\]

So, the equation becomes:

\[
-5 = 8 - 6x
\]

Next, isolate \(x\) by moving \(8\) to the left side:

\[
-5 - 8 = -6x
\]

This simplifies to:

\[
-13 = -6x
\]

Now, divide both sides by \(-6\):

\[
x = \frac{13}{6}
\]

The equation itself does not appear to be undefined for any specific values of \(x\). Instead, the original simplification may have made an assumption that was incorrect regarding the structure of the equation.

However, if we were actually dealing with the equation:

\[
−5 = 4 - 3x \cdot 4 - 3x
\]

It must be noted that \(−3x\) as a quantity in terms of \(0\), which makes the multiplication undefined.

In considering the options given, none directly provide a means that simplifies through to an undefined value because our system is algebraically valid through established forms.

For now, evaluate the fractions provided within the choices.

To conclude:

- \(−\frac{4}{3}\)
- \(\frac{4}{3}\)
- \(\frac{3}{4}\)
- \(−\frac{3}{4}\)

As these do not relate to a undefined multiplication or division where we would typically identify issues.

Thus, review further, none yield undefined behavior directly through our initial analysis.

If further adjustments or structural reinterpretations are possible, do contact for deeper inquiries.

For this position, the equation \(x\)= undefined does not yield a valid intersection through any of the provided solutions for typical algebraic forms. However, checking against original question parameters will be useful for clarity!