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15 terms

Chapter 3 Review

STUDY
PLAY
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)