Chapter 3 - Systems of Equations and Inequalities

Independent

________- a consistent system is ________ if it has exactly one solution

Linear Programming Procedure

Linear programming- the process of finding maximum and minimum values of a function for a region defined by inequalities ________ 1.

Dependent

________ - a consistent system is ________ if it has an infinite number of solutions Inconsistent- a system of equations is inconsistent if it has no solutions.

Systems of equations

two or more equations with the same variables.

Consistent

a system of equations is consistent if it has at least one solution.

Independent

a consistent system is independent if it has exactly one solution

Dependent

a consistent system is dependent if it has an infinite number of solutions

Inconsistent

a system of equations is inconsistent if it has no solutions.

The substitution method

used to algebraically solve a system of equations

The elimination method

a second method to algebraically solve systems of equations

Systems of inequalities

like systems of equations, but with inequalities instead of equations.

Constraints

the inequalities (representing the border of the shape).

Feasible region

the intersection of the graph

Linear programming

the process of finding maximum and minimum values of a function for a region defined by inequalities