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system of equations

two or more equations with the same variables


a system of equations that has at least one solution


a system of equations that has no solutions


a consistent system that has exactly one solution


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

elimination method

an algebraic method where you eliminate one of the variables by adding or subtracting the equations

system of inequalities

two or more inequalities



feasible region

the intersection of the graphs


when the graph of a system of constraints is a polygonal region


where the maximum or minimum value of a related function always occur


when a system of inequalities forms a region that is open

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 3 variables x, y, and z; written as (x,y,z)

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