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

Responses

34
Start Fraction 3 over 4 End Fraction
−43
negative Start Fraction 4 over 3 End Fraction
43
Start Fraction 4 over 3 End Fraction
−3/4

1 answer

To determine the value that makes the equation \(-5 = \frac{4 - 3x}{4 - 3x}\) undefined, we need to identify when the denominator of a fraction is equal to zero.

In this case, the equation \(\frac{4 - 3x}{4 - 3x}\) is undefined when the denominator \(4 - 3x\) is equal to zero:

\[ 4 - 3x = 0 \]

Now, solving for \(x\):

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

Thus, the value that makes the equation undefined is:

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

The correct response is:

Start Fraction 4 over 3 End Fraction