# 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