Give the solution set to the system of equations 5х — Зу + 2г--9 -4 x+ 2y – 2z=6 -2x+y -z=3 a) O [x=-2,y=-25 +1,z=1+ 2 s] b) O [x=25 - 2,y = -25 + 1,z=3 s + 2] [x=-2s + 2,y =1 +5,z=2] [x=-2s – 2,y =0, z=2s+ 3] e) The system does not have a solution. f) O None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement:**

Give the solution set to the system of equations

\[ 
\begin{align*}
5x - 3y + 2z &= -9 \\
-4x + 2y - 2z &= 6 \\
-2x + y - z &= 3
\end{align*}
\]

**Options:**

a) \((x = -2, y = -2s + 1, z = 1 + 2s)\)

b) \((x = 2s - 2, y = -2s + 1, z = 3s + 2)\)

c) \((x = -2s + 2, y = 1 + s, z = 2)\)

d) \((x = -2s - 2, y = 0, z = 2s + 3)\)

e) The system does not have a solution.

f) None of the above.

**Instructions:**

Identify the correct solution set from the options presented for the given system of equations.
Transcribed Image Text:**Problem Statement:** Give the solution set to the system of equations \[ \begin{align*} 5x - 3y + 2z &= -9 \\ -4x + 2y - 2z &= 6 \\ -2x + y - z &= 3 \end{align*} \] **Options:** a) \((x = -2, y = -2s + 1, z = 1 + 2s)\) b) \((x = 2s - 2, y = -2s + 1, z = 3s + 2)\) c) \((x = -2s + 2, y = 1 + s, z = 2)\) d) \((x = -2s - 2, y = 0, z = 2s + 3)\) e) The system does not have a solution. f) None of the above. **Instructions:** Identify the correct solution set from the options presented for the given system of equations.
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