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

−4/3
3/4
−3/4
4/3

1 answer

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

The denominator in this case is \(4 - 3x\).

To find when it is undefined:

  1. Set the denominator equal to zero: \[ 4 - 3x = 0 \]

  2. Solve for \(x\): \[ 3x = 4 \] \[ x = \frac{4}{3} \]

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

Therefore, the correct response is:

4/3