Systems of Linear Equations 3X3's - Linear Combinations

Explore the Systems of linear equations below in example 1, example 2, and example 3.
Single Solution System
This system has a single solution
Infinitely Many Solutions System 2
This system has a plane as its solution set
No Solutions System
This system has no solutions because there are two parallel planes intersected by a third plane
No Solutions System 2
This system has no solutions because there are three parallel planes
No Solutions System 3
This system has no solutions because there is no common point of intersection of the three planes
– shad hickman, Duke

Information: Systems of Linear Equations 3X3's - Linear Combinations