4x 3y-5z-3 %3D 2(r+y)=y+z-9 6(x-y)+z=4x-5y-7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Solve the System of Equations**

**Problem Statement:**
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.

**Equations:**

1. \( 4x = 3y - 5z - 3 \)

2. \( 2(x + y) = y + z - 9 \)

3. \( 6(x - y) + z = 4x - 5y - 7 \)

**Instructions:**
- Identify if the system of equations has a unique solution.
- If so, provide the solution set.
- If not, assess whether the system is inconsistent (no solutions) or if the equations are dependent (infinitely many solutions).
Transcribed Image Text:**Solve the System of Equations** **Problem Statement:** Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. **Equations:** 1. \( 4x = 3y - 5z - 3 \) 2. \( 2(x + y) = y + z - 9 \) 3. \( 6(x - y) + z = 4x - 5y - 7 \) **Instructions:** - Identify if the system of equations has a unique solution. - If so, provide the solution set. - If not, assess whether the system is inconsistent (no solutions) or if the equations are dependent (infinitely many solutions).
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