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Linear Systems

Vocabulary 3.1-3.5

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.
Created by: 1751775