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Linear systems vcb.
Word | Definition |
---|---|
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 |