Subtract and Simplify [(9X+1)/5] – [(7X + 6)]/5 = ?
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![Title: Subtract and Simplify an Expression
Content:
To solve and simplify the expression \([(9X+1)/5] - [(7X + 6)/5]\):
1. **Combine the Expressions:**
Since both expressions have the same denominator, you can combine them directly by subtracting the numerators:
\[
\frac{(9X+1) - (7X+6)}{5}
\]
2. **Simplify the Numerator:**
- Distribute and combine like terms in the numerator:
\[
(9X + 1) - (7X + 6) = 9X + 1 - 7X - 6 = 2X - 5
\]
3. **Final Expression:**
The simplified form of the expression is:
\[
\frac{2X - 5}{5}
\]
Thus, the simplified expression is \((2X - 5)/5\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33eba9e5-eb7d-44a1-93e3-ed0ee897e17f%2Fbc61d72c-8b2d-429a-9076-ae583c85dd1b%2F81u7q8x_processed.png&w=3840&q=75)
Transcribed Image Text:Title: Subtract and Simplify an Expression
Content:
To solve and simplify the expression \([(9X+1)/5] - [(7X + 6)/5]\):
1. **Combine the Expressions:**
Since both expressions have the same denominator, you can combine them directly by subtracting the numerators:
\[
\frac{(9X+1) - (7X+6)}{5}
\]
2. **Simplify the Numerator:**
- Distribute and combine like terms in the numerator:
\[
(9X + 1) - (7X + 6) = 9X + 1 - 7X - 6 = 2X - 5
\]
3. **Final Expression:**
The simplified form of the expression is:
\[
\frac{2X - 5}{5}
\]
Thus, the simplified expression is \((2X - 5)/5\).
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