Question
Evaluate the expression for \( x=5 \) Write your answer in simplest form. \[ \frac{-x+9}{-x+8}=\square \] Submit
Ask by Ford Smith. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{4}{3}\)
Solution
To evaluate the expression \(\frac{-x + 9}{-x + 8}\) at \(x = 5\), follow these steps:
1. **Substitute \(x = 5\) into the numerator and denominator:**
\[
\text{Numerator} = -5 + 9 = 4
\]
\[
\text{Denominator} = -5 + 8 = 3
\]
2. **Form the fraction with the evaluated numerator and denominator:**
\[
\frac{4}{3}
\]
So, the expression simplifies to \(\frac{4}{3}\).
\[\frac{4}{3}\]
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The Deep Dive
To evaluate the expression for \( x=5 \), substitute 5 in for \( x \): \[ \frac{-5+9}{-5+8} = \frac{4}{3} \] So, the expression simplifies to \( \frac{4}{3} \).