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# Linear systems vcb.

WordDefinition
system of equations two or more equations with the same variables
consistent a system of equations with at least one solution
inconsistent a system of equations with no solutions
independent a consistent system of equations with exactly one solution
dependent a consistent system of equations with an infinite number of solutions
substitution method an algebraic method in which one equation is solved for one variable in terms of the other. Then, this expression is substituted for the variable in the other equation.
elimination method an algebraic method in which you eliminate one of the variables by adding or subtracting the equations.
system of inequalities a set of inequalities with the same variables
constraints conditions given to variables, often expressed as linear inequalities
feasible region the intersection of the graphs in a system of constraints
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 linear function has for the points in a feasible region
unbounded a system of inequalities that forms a region that is open
linear programming the process of finding the maximum or minimum values of a function for a region defined by inequalities
ordered triple the solution of a system of equations in three variables