What value of b makes the following system consistent? 4x1 + 2x2 2x₁ + x₂ = 0 (A) b= -1 (B) b=0 (C) b = 1 (D) b = 2 A. A Consistent means it has one or infinitely many solutions. Inconsistent means it has no solutions. B. B C. C = D. D b
What value of b makes the following system consistent? 4x1 + 2x2 2x₁ + x₂ = 0 (A) b= -1 (B) b=0 (C) b = 1 (D) b = 2 A. A Consistent means it has one or infinitely many solutions. Inconsistent means it has no solutions. B. B C. C = D. D b
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Problem Statement:**
What value of \( b \) makes the following system consistent?
\[
4x_1 + 2x_2 = b
\]
\[
2x_1 + x_2 = 0
\]
**Options:**
(A) \( b = -1 \)
(B) \( b = 0 \)
(C) \( b = 1 \)
(D) \( b = 2 \)
**Explanation:**
Consistent means the system has one or infinitely many solutions. Inconsistent means it has no solutions.
**Answer Choices:**
- ○ A. A
- ○ B. B
- ○ C. C
- ○ D. D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac0f3c56-5561-4b47-8ddf-f02546f51c3e%2F4e6bdbef-1f6e-432e-8f2e-6ff0978262d1%2Finwo0n6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
What value of \( b \) makes the following system consistent?
\[
4x_1 + 2x_2 = b
\]
\[
2x_1 + x_2 = 0
\]
**Options:**
(A) \( b = -1 \)
(B) \( b = 0 \)
(C) \( b = 1 \)
(D) \( b = 2 \)
**Explanation:**
Consistent means the system has one or infinitely many solutions. Inconsistent means it has no solutions.
**Answer Choices:**
- ○ A. A
- ○ B. B
- ○ C. C
- ○ D. D
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