Solving Systems of Equations

Vocabulary

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