# Chapter 3 Review

### 15 terms by shelawu

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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

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)

Example: