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# Linear Systems Vocab

system of equation a set of equations with the same variables.
consistent a system of equations that has a least one solution.
inconsistent a system of equation that has no solution.
independent a system of equations that have exactly one solution.
dependent if it has an infinite number of solution
substitution method a method of solving a system of equation in which one equation is solved for one variable in terms of the other
elimination method eliminate one of the variables in a system of equations by adding or subtracting the equations
system of inequalities a set of inequalities with the same variable
constraints condition given to variables, often expressed as linear inequalities
feasible region the intersection of the graphs in a system of constranints
bounded a region is bounded when the graph of a system of constraints is a polygonal region
vertices the maximum or minimum value that a liner function has for the points in a feasible region
unbounded a system of inequalities that forms a region that is open
linear programming an equation that has no operations other than addition , subtraction, and multiplication of a variable by a constant
octants the eight regions of three-dimensional space
ordered triple the coordinates of a point in space 2. the solution of a system of equation in three variables x,y,and z.
Created by: cynthiayfidel