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# Linear System Vocab

Two or more equations with the same variable. system of equations
A system of equations that has at least one solution. consistent
A system of equations that has no solutions. inconsistent
A system that has one exactly one solution. independent
A system that has an infinite number of solutions. dependent
A method of solving a system of equations in which one equation is solved for one variable in terms of the other. substitution method
Eliminate one of the variables in a system of equations by adding or subtracting the equations. elimination method
A set of inequalities with the same variables. system of inequalities
Conditions giving to variables, often expressed as linear inequalities. constraints
The intersection of the graphs in a system of constraints. feasible region
A region is bounded when the graph of a system of constraints is a polygonal region. bounded
The maximum or minimum value that a linear function has for the points in a feasible region. vertices
A system of inequalities that forms a region that is open. unbounded
The process of finding the maximum or minimum values of a function for a region defined by inequalities. linear programming
1.The coordinates of a point space. 2. The solution of a system of equations in three variables x, y, and z. ordered triple
Created by: daiysa