Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter IMPOSSIBLE = 2 z = 2 z = 2 ax+by+ cz = 0 (a) a unique solution. (a, b, c) = x + у X y + + (b) no solution (a, b, c) = (c) infinitely many solutions. (a, b, c) = 1

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.1: Solve Systems Of Linear Equations With Two Variables
Problem 68E: In a system of linear equations, the two equations have the same intercepts. Describe the possible...
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Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter IMPOSSIBLE.)
= 2
y + z = 2
x + y
+ z = 2
ax+by+cz = 0
(a) a unique solution
(a, b, c) =
X
(b) no solution
(a, b, c) =
(c) infinitely many solutions
(a, b, c) =
Transcribed Image Text:Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter IMPOSSIBLE.) = 2 y + z = 2 x + y + z = 2 ax+by+cz = 0 (a) a unique solution (a, b, c) = X (b) no solution (a, b, c) = (c) infinitely many solutions (a, b, c) =
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