Question
What value makes the equation $-5=4-\frac {3x}{4-3x}$ undefined? (
$-\frac {4}{3}$
$-\frac {3}{4}$
$\frac {4}{3}$
$\frac {3}{4}$ o
$-\frac {4}{3}$
$-\frac {3}{4}$
$\frac {4}{3}$
$\frac {3}{4}$ o
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The equation is given as
\[
-5 = 4 - \frac{3x}{4 - 3x}
\]
To identify the value that makes the equation undefined, we need to find when the denominator \(4 - 3x\) equals zero.
We start by setting the denominator equal to zero:
\[
4 - 3x = 0
\]
Next, we solve for \(x\):
\[
3x = 4
\]
\[
x = \frac{4}{3}
\]
The equation will be undefined when \(x = \frac{4}{3}\) because that will make the denominator zero.
Thus, the value that makes the equation undefined is
\[
\boxed{\frac{4}{3}}
\]
\[
-5 = 4 - \frac{3x}{4 - 3x}
\]
To identify the value that makes the equation undefined, we need to find when the denominator \(4 - 3x\) equals zero.
We start by setting the denominator equal to zero:
\[
4 - 3x = 0
\]
Next, we solve for \(x\):
\[
3x = 4
\]
\[
x = \frac{4}{3}
\]
The equation will be undefined when \(x = \frac{4}{3}\) because that will make the denominator zero.
Thus, the value that makes the equation undefined is
\[
\boxed{\frac{4}{3}}
\]
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