AlgebraLab

Consistent System

Subject undefined

Pronunciation: con•SIS•tent SYS•tem

Definition

a system of equations with at least one solution; an independent system has exactly one solution; a dependent system has an infinite number of solutions

Example

the following are graphical examples of consistent systems of linear equations.

independent system

dependent system

blue line:   7x + 3y = 9
green line: -x + y = -2

blue  line:    x + 2y = 8
green line: 5x + 10y = 40