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# Linear System Vocab.

System of Equations two or more equations with the same variables
Consistent a system of equations that has at least one solution
Inconsistent a system of equations that has no solutions
Independent a system of equations that has exactly one solution
Dependent A system of equations that has an infinite number of solutions
Substitution Method A method of solving a system of equations in which one equation is solved for one variable in terms of the other
Elimination Menthod Eliminate one of the variables in a system of equations by adding or subtracting the equations
System of Inequalities A set of inequalities 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 region that is open
Linear Programming The process of finding the maximum or minimum values of a function for a region defined by inequalities
Ordered Triple 1.The coordinates of a point in shape 2.The solution of a system of equations in three variables x,y, and z
Created by: tayylor_scott