Solve using matrices. 6x - y-9z = 5 4x + y- z= 6 8x + y-8z = 8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. This system has exactly one solution. The solution is ( . (Type an exact answer in simplified form.) O B. This system has infinitely many solutions of the form (Type expressions using z as the variable.) ! z), where z is any real number. O C. This system has no solution.
Solve using matrices. 6x - y-9z = 5 4x + y- z= 6 8x + y-8z = 8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. This system has exactly one solution. The solution is ( . (Type an exact answer in simplified form.) O B. This system has infinitely many solutions of the form (Type expressions using z as the variable.) ! z), where z is any real number. O C. This system has no solution.
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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![### Solving Systems of Equations Using Matrices
To solve the following system of equations using matrices:
\[ 6x - y - 9z = 5 \]
\[ 4x + y - z = 6 \]
\[ 8x + y - 8z = 8 \]
Please select the correct choice below. Fill in the appropriate answer boxes if necessary to complete your choice:
1. **A.** This system has exactly one solution. The solution is ( \_\_\_ , \_\_\_ , \_\_\_ ).
- (Type an exact answer in simplified form.)
2. **B.** This system has infinitely many solutions of the form ( \_\_\_ , \_\_\_ , \(z\) ), where \(z\) is any real number.
- (Type expressions using \(z\) as the variable.)
3. **C.** This system has no solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57708f6a-cbd4-4295-9f28-330268fec57a%2F889f674f-848d-424d-a080-de5aae163b03%2Fd23auj5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Systems of Equations Using Matrices
To solve the following system of equations using matrices:
\[ 6x - y - 9z = 5 \]
\[ 4x + y - z = 6 \]
\[ 8x + y - 8z = 8 \]
Please select the correct choice below. Fill in the appropriate answer boxes if necessary to complete your choice:
1. **A.** This system has exactly one solution. The solution is ( \_\_\_ , \_\_\_ , \_\_\_ ).
- (Type an exact answer in simplified form.)
2. **B.** This system has infinitely many solutions of the form ( \_\_\_ , \_\_\_ , \(z\) ), where \(z\) is any real number.
- (Type expressions using \(z\) as the variable.)
3. **C.** This system has no solution.
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