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.
- Solving Systems of Linear Equations 2x2: 2 Linear Equations in 2 Variables
- Linear Equations
- Linear Functions
- Slope of a Line
|Global||2x2 System of Equations|
|Brief||Mathcasts and Interactivities to understand and practice solving systems of 2 equations in 2 variables (unknowns).|
|Grade||7-10 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 28-32|
|Keywords||system, linear system, variable, unknown, linear equation, elimination, addition, substitution|
|Author||LFS - contact - website|
|Type||Freeware - Available for Offline and Online Use - Translatable (html)|
|Use||Requires sunJava player|
|Up one level|