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

Responses

−43
negative Start Fraction 4 over 3 End Fraction

34
Start Fraction 3 over 4 End Fraction

43
Start Fraction 4 over 3 End Fraction

−34

1 answer

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

The denominator of the fraction given in the equation is \(4 - 3x\).

To find when this expression is zero, we set it equal to zero:

\[ 4 - 3x = 0 \]

Now, solve for \(x\):

  1. Subtract 4 from both sides: \[ -3x = -4 \]

  2. Divide by -3: \[ x = \frac{4}{3} \]

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

The correct response is: Start Fraction 4 over 3 End Fraction.