What's a Consistent Independent System of Equations?

What's a Consistent Independent System of Equations?

Note:

Looking at a system of equations with only one solution? That means that those equations intersect only at that one point. That kind of solution is called consistent and independent! This tutorial explains systems with one solution and even shows you an example!

Keywords:

  • definition
  • consistent
  • independent
  • system of equations
  • solution
  • 1 solution
  • unique solution

Background Tutorials

  • Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

      • What's a System of Linear Equations?What's a System of Linear Equations?

      What's a System of Linear Equations?

      A system of equations is a set of equations with the same variables. If the equations are all linear, then you have a system of linear equations! To solve a system of equations, you need to figure out the variable values that solve all the equations involved. This tutorial will introduce you to these systems.

      • What's a Solution to a System of Linear Equations?What's a Solution to a System of Linear Equations?

      What's a Solution to a System of Linear Equations?

      If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time. Follow along as this tutorial uses an example to explain the solution to a system of equations!