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# Linear Systems

consistent system a system of equations or inequalities that has at least one solution
constraint one of the inequalities in a linear programming problem
dependent system a system of equations that has infinitely many solutions
elimination a method used to solve systems of equations in which one variable is eliminated by adding or subtracting two equations of the system
feasible region the set of points that satisfies the constraints in a linear-programming problem
inconsistent system a system of equations or inequalities that has no solution
independent system a system of equations that has exactly one solution
linear programming a method of finding a maximum or minimum value of a function that satisfies a given set of conditions called constraints
linear system a system of equations containing only linear equations
subsitution a method used to solve systems of equations by solving an equation for one variable and substituting the resulting expression into other equations
system of equations a set of two or more equations that contain two or more variables
system of linear inequalities a set of two or more linear inequalities containing two or more variables
ordered triple a set of three numbers that can be used to locate a point in a three-dimensional coordinate system. 1st number is distance along the x-axis, 2nd number is distance along the y-axis, and the 3rd number is the distnace along the z-axis