1. For which values of a and b is the following system of equations inconsistent. x+2y3z = 4 3x - y + 5z = 2 4x+y+az = f (b) a = 2 and b6; (c) a 2 and b = 6; (e) None of these. (a) a = 2 and b = 6; (d) a = 1 and b= 3;

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Example Problem: System of Equations Consistency**

**Problem Statement:**

For which values of \( a \) and \( b \) is the following system of equations inconsistent?

1. \( x + 2y - 3z = 4 \)
2. \( 3x - y + 5z = 2 \)
3. \( 4x + y + az = b \)

(a) \( a = 2 \) and \( b = 6 \);

(b) \( a = 2 \) and \( b \neq 6 \);

(c) \( a \neq 2 \) and \( b = 6 \);

(d) \( a \neq 2 \) and \( b = 3 \);

(e) None of these.
Transcribed Image Text:**Example Problem: System of Equations Consistency** **Problem Statement:** For which values of \( a \) and \( b \) is the following system of equations inconsistent? 1. \( x + 2y - 3z = 4 \) 2. \( 3x - y + 5z = 2 \) 3. \( 4x + y + az = b \) (a) \( a = 2 \) and \( b = 6 \); (b) \( a = 2 \) and \( b \neq 6 \); (c) \( a \neq 2 \) and \( b = 6 \); (d) \( a \neq 2 \) and \( b = 3 \); (e) None of these.
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