Solve the system of linear equations using matrices. 6x-y+5z=-28 4x+2y=10 5x+6z=-23 Rewrite each equation in form ax+by+cz=d X= y= x + Use your calculator to find x,y and z Z= x + x + y + + y + Z= Z= Z= JAIL
Solve the system of linear equations using matrices. 6x-y+5z=-28 4x+2y=10 5x+6z=-23 Rewrite each equation in form ax+by+cz=d X= y= x + Use your calculator to find x,y and z Z= x + x + y + + y + Z= Z= Z= JAIL
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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Solve the system of linear equations using matrices.
![### Solving Systems of Linear Equations Using Matrices
**Given System of Equations:**
1. \(6x - y + 5z = -28\)
2. \(4x + 2y = 10\)
3. \(5x + 6z = -23\)
**Rewriting Each Equation in the Form \(ax + by + cz = d\):**
- First Equation:
\(\_\_\_\_ \, x + \_\_\_\_ \, y + \_\_\_\_ \, z = \_\_\_\_\_\_ \)
- Second Equation:
\(\_\_\_\_ \, x + \_\_\_\_ \, y + \_\_\_\_ \, z = \_\_\_\_\_\_ \)
- Third Equation:
\(\_\_\_\_ \, x + \_\_\_\_ \, y + \_\_\_\_ \, z = \_\_\_\_\_\_ \)
**Use Your Calculator to Find \(x\), \(y\), and \(z\):**
\[
x = \, \_\_\_\_
\]
\[
y = \, \_\_\_\_
\]
\[
z = \, \_\_\_\_
\]
Fill in the blanks with the corresponding coefficients and constant terms, and solve the system using a calculator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb86f03a-fd2e-4ce0-82a2-224c7ef4c250%2F63e40405-2ace-481a-b8e5-399d8df80508%2F3s6vjn8_processed.png&w=3840&q=75)
Transcribed Image Text:### Solving Systems of Linear Equations Using Matrices
**Given System of Equations:**
1. \(6x - y + 5z = -28\)
2. \(4x + 2y = 10\)
3. \(5x + 6z = -23\)
**Rewriting Each Equation in the Form \(ax + by + cz = d\):**
- First Equation:
\(\_\_\_\_ \, x + \_\_\_\_ \, y + \_\_\_\_ \, z = \_\_\_\_\_\_ \)
- Second Equation:
\(\_\_\_\_ \, x + \_\_\_\_ \, y + \_\_\_\_ \, z = \_\_\_\_\_\_ \)
- Third Equation:
\(\_\_\_\_ \, x + \_\_\_\_ \, y + \_\_\_\_ \, z = \_\_\_\_\_\_ \)
**Use Your Calculator to Find \(x\), \(y\), and \(z\):**
\[
x = \, \_\_\_\_
\]
\[
y = \, \_\_\_\_
\]
\[
z = \, \_\_\_\_
\]
Fill in the blanks with the corresponding coefficients and constant terms, and solve the system using a calculator.
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