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2. Consider the simultaneous linear equation of (x, y, z): 2x+y -z = x + 2y - 3z + 1 4x − c + 2% = 2x-by-2z 3y2z+2 = 2z-ax+y+4, where a, b, and c are parameters. (d) | Assume b = 1. Find all the values of (a, c) for which the system has solutions. Assume a = -2. Show that the system has no solutions for any (b. c).

2. Consider the simultaneous linear equation of (x, y, z): 2x+y -z = x + 2y - 3z + 1 4x − c + 2% = 2x-by-2z 3y2z+2 = 2z-ax+y+4, where a, b, and c are parameters. (d) | Assume b = 1. Find all the values of (a, c) for which the system has solutions. Assume a = -2. Show that the system has no solutions for any (b. c).

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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2. Consider the simultaneous linear equation of (x, y, z): where a, b, and c are parameters. (d) 2x+y- z 4x = c + 2z = 3y2z + 2 (e) = x + 2y - 3z +1 2x – by - 2z 2z - ax + y + 4, | Assume b = 1. Find all the values of (a, c) for which the system has solutions. Assume a = -2. Show that the system has no solutions for any (b, c).
Transcribed Image Text:2. Consider the simultaneous linear equation of (x, y, z): where a, b, and c are parameters. (d) 2x+y- z 4x = c + 2z = 3y2z + 2 (e) = x + 2y - 3z +1 2x – by - 2z 2z - ax + y + 4, | Assume b = 1. Find all the values of (a, c) for which the system has solutions. Assume a = -2. Show that the system has no solutions for any (b, c).
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