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

Responses

43
Start Fraction 4 over 3 End Fraction

−43
negative Start Fraction 4 over 3 End Fraction

34
Start Fraction 3 over 4 End Fraction

−34

1 answer

To determine when the equation

\[ -5 = \frac{4 - 3x}{4 - 3x} \]

is undefined, we need to see when the denominator equals zero, as division by zero is undefined.

The denominator in this case is \(4 - 3x\). We set this equal to zero:

\[ 4 - 3x = 0 \]

Now, we solve for \(x\):

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

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

From the provided options, the correct response is:

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