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Linear Systems
Vocabulary 3.1-3.5
Question | Answer |
---|---|
system of equations | two or more equations with the same variable |
consistent | a system of equations that has at least one solution |
inconsistent | a system of equations that has no solution |
independent | a consistent system that has exactly one solution |
dependent | a consistent system that has an infinite number of solutions |
substitution method | when one equation is solved for one variable in terms of another |
elimination method | when you eliminate one of the variables by adding or subtracting the equations |
system of inequalities | a set of equations with the same variables |
constraints | conditions given to variables, often expressed as linear inequalities |
feasible region | the intersection of the graphs in a system of constraints |
bounded | a region is bounded when the graph of a system of constraints is a polygonal region |
vertices | The maximum or minimum value that a linear function has for the points in a feasible region |
unbounded | a system of inequalities that forms a regions that is open. |
linear programming | the process of finding the maximum or minimum values of a function for a region defined by inequalities |
octants | the eight regions of three-dimensional space |
ordered triple | 1. The coordinates of a point in space. 2. The solution of a system of equations in three variables x,y, and z. |