Evaluate the expression for 

x

=

1

.

To evaluate the expression 

\[
\frac{x - 6}{2x - 3}
\]

at \( x = 1 \), substitute \( x = 1 \) into the expression:

\[
\frac{1 - 6}{2(1) - 3} = \frac{-5}{2 - 3} = \frac{-5}{-1} = 5
\]

So, the value of the expression when \( x = 1 \) is \( 5 \).

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**Follow-up Questions:**

1. Would you like to evaluate this expression for other values of \( x \)?
2. Are you interested in understanding how the expression changes as \( x \) varies?
3. Do you want to explore what happens to the expression as \( x \) approaches a certain value?
4. Would you like to see the graph of this expression?
5. Are you curious about how this expression might be used in a real-world scenario?

**Tip:** When substituting values into a rational expression, always be careful to check whether the denominator becomes zero, as this would make the expression undefined.

Learn how to evaluate the rational expression (x - 6) / (2x - 3) at x = 1 with a step-by-step solution. This problem involves rational expressions and substitution, suitable for high school students.

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