Solve the system of equations: x-y+8z = -107 6x + 2 = 17 3y - 52 = 89 The sum of the solution to this system is:
Solve the system of equations: x-y+8z = -107 6x + 2 = 17 3y - 52 = 89 The sum of the solution to this system is:
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
![### Solving Systems of Equations
Consider the following system of equations:
\[
\begin{aligned}
1. & \quad x - y + 8z = -107 \\
2. & \quad 6x + z = 17 \\
3. & \quad 3y - 5z = 89 \\
\end{aligned}
\]
#### Problem Statement
You are required to solve this system of equations and determine the sum of the solutions (i.e., the sum of the values of \(x\), \(y\), and \(z\)).
#### Answer Choices
Select the correct sum of the solutions from the following options:
- \( \bigcirc \) 13
- \( \bigcirc \) 0
- \( \bigcirc \) -16
- \( \bigcirc \) 16
- \( \bigcirc \) -13
#### Instructions
Start by solving the system using substitution or elimination methods. After finding the values of \(x\), \(y\), and \(z\), add them together to find the sum. Select the appropriate answer from the choices provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ecf1484-f95f-4119-9858-43c8382b92c0%2Fd372fac3-4e73-431c-8208-5a5aaa627544%2Faooi4uc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Systems of Equations
Consider the following system of equations:
\[
\begin{aligned}
1. & \quad x - y + 8z = -107 \\
2. & \quad 6x + z = 17 \\
3. & \quad 3y - 5z = 89 \\
\end{aligned}
\]
#### Problem Statement
You are required to solve this system of equations and determine the sum of the solutions (i.e., the sum of the values of \(x\), \(y\), and \(z\)).
#### Answer Choices
Select the correct sum of the solutions from the following options:
- \( \bigcirc \) 13
- \( \bigcirc \) 0
- \( \bigcirc \) -16
- \( \bigcirc \) 16
- \( \bigcirc \) -13
#### Instructions
Start by solving the system using substitution or elimination methods. After finding the values of \(x\), \(y\), and \(z\), add them together to find the sum. Select the appropriate answer from the choices provided.
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