Question
What part of this equation makes the answer undefined? -5 = 4 - 3x/4-3x
Answers
GPT-4o mini
To determine when the equation \(-5 = \frac{4 - 3x}{4 - 3x}\) is undefined, we need to analyze the right-hand side, which is a fraction.
The expression \(\frac{4 - 3x}{4 - 3x}\) is undefined when the denominator equals zero. Therefore, we need to set the denominator equal to zero and solve for \(x\):
\[
4 - 3x = 0
\]
Solving for \(x\) gives:
\[
3x = 4 \\
x = \frac{4}{3}
\]
Thus, the equation \(-5 = \frac{4 - 3x}{4 - 3x}\) is undefined when \(x = \frac{4}{3}\), since the denominator \(4 - 3x\) would be zero at this value.
The expression \(\frac{4 - 3x}{4 - 3x}\) is undefined when the denominator equals zero. Therefore, we need to set the denominator equal to zero and solve for \(x\):
\[
4 - 3x = 0
\]
Solving for \(x\) gives:
\[
3x = 4 \\
x = \frac{4}{3}
\]
Thus, the equation \(-5 = \frac{4 - 3x}{4 - 3x}\) is undefined when \(x = \frac{4}{3}\), since the denominator \(4 - 3x\) would be zero at this value.