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

Single Solution System
This system has a single solution

Infinitely Many Solutions System 2

Infinitely Many Solutions System 2
This system has a plane as its solution set

No Solutions System

No Solutions System
This system has no solutions because there are two parallel planes intersected by a third plane

No Solutions System 2

No Solutions System 2
This system has no solutions because there are three parallel planes

No Solutions System 3

No Solutions System 3
This system has no solutions because there is no common point of intersection of the three planes