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

Responses

3/4
Start Fraction 3 over 4 End Fraction

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

4/3
Start Fraction 4 over 3 End Fraction

−4/3

1 answer

To determine the value that makes the equation \(-5 = \frac{4 - 3x}{4 - 3x}\) undefined, we need to identify when the denominator in the fraction equals zero, since division by zero is undefined.

The expression in the denominator is \(4 - 3x\). We set it to zero and solve for \(x\):

\[ 4 - 3x = 0 \]

Solving for \(x\):

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

So, the value that makes the equation undefined is \(\frac{4}{3}\).

Therefore, the correct response is 4/3.