Question

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

3/4
Start Fraction 3 over 4 End Fraction

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

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

4/3

Answer 1

To determine the value that makes the equation \( -5 = 4 - \frac{3x}{4 - 3x} \) undefined, we need to look for values of \( x \) that would cause the denominator \( 4 - 3x \) to be zero, since division by zero is undefined.

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

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

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

The correct answer is:
**4/3**