Algebra/Solutions of systems of linear equations

Solutions of systems of linear equations edit

A solution of a system of linear equations is a set of numbers for each variable that makes every equation true.

Number of solutions for a system of linear equations

A system can either have

  1. Zero solutions
  2. One solution
  3. Infinitely many solutions

This can be demonstrated using 2 variable sets of equations.

No solutions

 
 

One solution

 
 

Infinite solutions