Chapter 3 Review

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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 consistent system that has exactly one solution

dependent

a consistent system that has an infinite number of solutions

substitution method

an algebraic method where one equation is solved for one variable in terms of the other

elimination method

an algebraic method where you eliminate one of the variables by adding or subtracting the equations

system of inequalities

two or more inequalities

constraints

inequalities

feasible region

the intersection of the graphs

bounded

when the graph of a system of constraints is a polygonal region

vertices

where the maximum or minimum value of a related function always occur

unbounded

when a system of inequalities forms a region that is open

linear programming

the 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 3 variables x, y, and z; written as (x,y,z)

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