Determine whether (5,0) is a solution of the system: 2x-3y = -4 -x+ 5y = -8 Is (5,0) a solution of the system? Choose the correct answer bela O Yes No
Determine whether (5,0) is a solution of the system: 2x-3y = -4 -x+ 5y = -8 Is (5,0) a solution of the system? Choose the correct answer bela O Yes No
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Determine whether (5,0) is a solution of the system:**
\[ 2x - 3y = -4 \]
\[ -x + 5y = -8 \]
---
Is (5,0) a solution of the system? Choose the correct answer below.
- ○ Yes
- ○ No
---
To check if (5,0) is a solution, substitute \(x = 5\) and \(y = 0\) into both equations and verify if both are true:
1. In the first equation:
\[ 2(5) - 3(0) = 10 - 0 = 10 \neq -4 \]
The left side does not equal the right side, so the point does not satisfy the first equation.
2. In the second equation:
\[ -5 + 5(0) = -5 \neq -8 \]
The left side does not equal the right side, so the point does not satisfy the second equation.
Since (5,0) does not satisfy both equations, the correct answer is:
- ○ No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58402a47-f1ff-47ea-9009-84135bb68162%2F50e7c71c-5f70-4b79-b474-e06e5446c24b%2Fwgmrxh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine whether (5,0) is a solution of the system:**
\[ 2x - 3y = -4 \]
\[ -x + 5y = -8 \]
---
Is (5,0) a solution of the system? Choose the correct answer below.
- ○ Yes
- ○ No
---
To check if (5,0) is a solution, substitute \(x = 5\) and \(y = 0\) into both equations and verify if both are true:
1. In the first equation:
\[ 2(5) - 3(0) = 10 - 0 = 10 \neq -4 \]
The left side does not equal the right side, so the point does not satisfy the first equation.
2. In the second equation:
\[ -5 + 5(0) = -5 \neq -8 \]
The left side does not equal the right side, so the point does not satisfy the second equation.
Since (5,0) does not satisfy both equations, the correct answer is:
- ○ No
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