what is the undefined value for 22=4+5x/9x-6? write your answer in a reduced fraction form if applicable.

the undefined value is ___

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To find the undefined value for the equation \( 22 = \frac{4 + 5x}{9x - 6} \), we should determine when the denominator is equal to zero, as this will make the expression undefined.

1. Set the denominator equal to zero:

\[
9x - 6 = 0
\]

2. Solve for \( x \):

\[
9x = 6
\]
\[
x = \frac{6}{9}
\]
\[
x = \frac{2}{3}
\]

Thus, the undefined value for the given equation is:

\[
\boxed{\frac{2}{3}}
\]

User Icon for iluvxim iluvxim answered
1 month ago

the bot said its 2/3 if you dont understand coding

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The undefined value in the equation \( 22 = \frac{4 + 5x}{9x - 6} \) occurs when the denominator \( 9x - 6 \) is equal to zero, because division by zero is undefined in mathematics.

We found the value by setting the denominator to zero:

\[
9x - 6 = 0
\]

Solving this gives:

\[
9x = 6
\]
\[
x = \frac{6}{9} = \frac{2}{3}
\]

So, the undefined value is indeed:

\[
\boxed{\frac{2}{3}}
\]

If there are any additional questions or clarifications needed, feel free to ask!