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3.1-3.5 AlgebraIIHon

Systems of equations and inequalities

QuestionAnswer
System of Equations Two or more equations with the same variable.
Consistent A system of equations that has at least one solution.
Inconsistent A system of equations that has no solution.
Independent A system of equations that is consistent and has one solution.
Dependent A system of equations that is consistent and has 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 one of the variables is eliminated by adding or subtracting the equations. When the two true equations are added, the result is a new equation that is also true.
System of Inequalities A set of inequalities with the same variables.
Constraints Inequalities
Feasible Region The intersection of the graphs.
Bounded When the graph of a system of constraints is a polygonal region.
Vertices Where the maximum or minimum value of a related function occurs at the feasible region.
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 x, y, and z and is written (x,y,z)
Unbounded When a system of inequalities forms a region that is open.
Octants Planes that intersect at right angles and divide space into eight regions.
Ordered Triple A point in space (three dimensions) that has three coordinates and is represented by (x,y,z).
Created by: 100002472337696
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