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Linear Systems Vocab

Section 3.1-3.5

System of Equations Two or more equations with the same variables.
Consistent Solution A system of equations that has at least one solution.
Inconsistent Solution A system of equations has no solution.
Independent A consistent system is independent if it has exactly one solution
Dependent A consistent system that has an infinite number of solutions.
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 Another algebraic method, where you eliminate one of the variables by adding or subtracting the equations. When you add two true equations, the result is a new equation that is also true.
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 system of constraints is a polygonal region.
Verticies 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 coordinates of a point in space The solution of a system of equations in three variables x,y,and z
Octants The eight regions of three-dimensional space.
Created by: hannahp216