Solve for the unknown: 45T-16 84 -5T.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Solve for the unknown:**
\[ 45T - 16 = 84 - 5T \]
**Solution Steps:**
1. **Combine like terms:** Add \(5T\) to both sides to get all the T terms on one side.
\[ 45T + 5T - 16 = 84 \]
\[ 50T - 16 = 84 \]
2. **Isolate the T term:** Add 16 to both sides.
\[ 50T = 100 \]
3. **Solve for \(T\):** Divide both sides by 50.
\[ T = 2 \]
**Answer:**
\[ T = 2 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8fcd2a4-af35-43b6-bf57-ed41a112752a%2Fc7fa7a41-519a-48c7-b2f4-91d249ca2788%2Ft9hq1z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Solve for the unknown:**
\[ 45T - 16 = 84 - 5T \]
**Solution Steps:**
1. **Combine like terms:** Add \(5T\) to both sides to get all the T terms on one side.
\[ 45T + 5T - 16 = 84 \]
\[ 50T - 16 = 84 \]
2. **Isolate the T term:** Add 16 to both sides.
\[ 50T = 100 \]
3. **Solve for \(T\):** Divide both sides by 50.
\[ T = 2 \]
**Answer:**
\[ T = 2 \]
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