
Regulation: A 2x2 system is inconsistent if and only if the lines are parallel See!

InterActivity Directions for InterActivity 1. Look at the two lines a and b. They are parallel. They do not intersect. This system is inconsistent.
(Remember  system means "simultaneous" solution  but here no point works in both lines at the same time.)
Look in the left window. Check that E is now defined (a point). This system is consistent. It has a solution
3.Click and drag the points A, B, C or D so that a and b coincide. This system is consistent. It has infinitely many solutions.
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Related topics:
 Solving Systems of Linear Equations 2x2: 2 Linear Equations in 2 Variables
 Linear Equations
 Linear Functions
 Lines?
 Slope of a Line
Metadata
Global  2x2 System of Equations 
Brief  Mathcasts and Interactivities to understand and practice solving systems of 2 equations in 2 variables (unknowns). 
Grade  710 Interactivities start at 8th grade level on up 
Strand  Algebra; Expressions, Equations and Inequalities 
Standard  Algebra 1 3.1, Algebra 1 3.2, Algebra 1 3.3, ACT EE 2832 
Keywords  system, linear system, variable, unknown, linear equation, elimination, addition, substitution 
Comments  none 
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Author  LFS  contact  website 
Type  Freeware  Available for Offline and Online Use  Translatable (html) 
Use  Requires sunJava player 
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