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

Question

Responses

34
Start Fraction 3 over 4 End Fraction

43
Start Fraction 4 over 3 End Fraction

−43
negative Start Fraction 4 over 3 End Fraction

−34

Answer 1

To determine when the equation \(-5 = \frac{4 - 3x}{4 - 3x}\) is undefined, we need to analyze the denominator.

The expression \(\frac{4 - 3x}{4 - 3x}\) is undefined when the denominator is zero, which occurs when:

\[ 4 - 3x = 0 \]

Now, we solve for \(x\):

1. Add \(3x\) to both sides:

\[ 4 = 3x \]

2. Divide both sides by \(3\):

\[ x = \frac{4}{3} \]

Thus, the equation is undefined when \(x = \frac{4}{3}\).

So the correct response is:

43 \( \frac{4}{3} \)