consistent system
set of two or more equations that have at least one solution
dependent system
set of two or more equations that have an infinite number of solutions
elimination method
method for solving systems of equations that involves combining multiples of equations to eliminate variables
inconsistent system
set of two or more equations that have no solution
independent system
set of two or more equations that have exactly one solution
solution of a system of equations
ordered pair (triple, etc.) that is a solution of every equation in the system
substitution method
method for solving a system of equations by solving for one variable and then substituting the result back into the other equation(s)
system of equations
set of equations that are used at the same time