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Linear Systems

Systems of equations two or more equations with the same variables
consistent has at least one solution
inconsistent it has no solutions
independent it has exactly one solution
dependent it has an infinite number of solutions
substitution method one equation is solved for one variable in terms of the other
elimination method eliminate one of the variables by adding or subtracting the equations
constraints the inequalities
feasible region the intersection of the graph
bounded when the graph of a system of constraints is a polygonal region
vertices maximum or minimum value of a related function always occurs at one of the vertices
unbounded system of inequalities forms a region that is open
linear programming process of finding maximum or minimum values of a function for a region defined by inequalities
ordered triple the solution of a system of equations in three variables x,y and z
Created by: tcp1