a. Give an example of an inconsistent system of equations consisting of 3 planes that are each parallel to the y-axis, but no pair of planes are parallel to each other. b. Give an example of a consistent system of equations consisting of 3 planes that are each parallel to the y-axis. Solve the system. Show work.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 4CC
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2. For this problem, we will geometrically think about systems of 3 equations and 3 variables (x, y, z).
a.
Give an example of an inconsistent system of equations consisting of 3 planes that are each
parallel to the y-axis, but no pair of planes are parallel to each other.
b. Give an example of a consistent system of equations consisting of 3 planes that are each parallel
to the y-axis. Solve the system. Show work.
Transcribed Image Text:2. For this problem, we will geometrically think about systems of 3 equations and 3 variables (x, y, z). a. Give an example of an inconsistent system of equations consisting of 3 planes that are each parallel to the y-axis, but no pair of planes are parallel to each other. b. Give an example of a consistent system of equations consisting of 3 planes that are each parallel to the y-axis. Solve the system. Show work.
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