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Vocabulary- Linear
Question | Answer |
---|---|
System of equations | two or more equations with the same variables. |
Consistent | has at least one solution and has to do with systems of linear equations. |
Inconsistent | has no solutions and has to do with systems of linear equations. |
Independent | has exactly one solution and has to do with a consistent system. |
Dependent | has an infinite number of solutions and has to do with a consistent system. |
Substitution method | an algebraic method where 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 where you eliminate one of the variables by adding or subtracting the equations. When you add two true equation, the result is a new equation that is also true. |
System of inequalities | is solved by finding the ordered pairs that satisfy all of the inequalities in the system. |
Constraints | the inequalities in a system of inequalities. |
Feasible region | the intersection of the graphs in a system of inequalities. |
Bounded | a polygonal region where the graph is a system of constraints. |
Vertices | the points on a graph. |
Unbounded | the region that is open in a system of inequalities. |
Linear programming | the process of finding 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. |