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

Responses

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

3/4
Start Fraction 3 over 4 End Fraction

4/3
Start Fraction 4 over 3 End Fraction

−3/4

1 answer

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

The denominator in the equation is \(4 - 3x\). Setting it to zero gives:

\[ 4 - 3x = 0 \]

Now, solve for \(x\):

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

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

The correct answer is:

4/3 (Start Fraction 4 over 3 End Fraction).