text: # Solving systems of equations
  
  14 videos
  8 skills
  Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like "the make-up of change in a troll's pocket" or "how can order the right amount of potato chips for a King's party." Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!
  
  ### Trolls, tolls, and systems of equations
  
  VIDEO 6:51 minutes
  A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations
  
  ### Solving the troll riddle visually
  
  VIDEO 5:41 minutes
  Solving the system of equations visually. Now we can save the prince/princess
  
  ### Solving systems of equations graphically
  
  VIDEO 2:22 minutes
  Some practice solving systems graphically (exercises available at http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/graphing_systems_of_equations )
  
  ### Solving systems of equations graphically
  
  PRACTICE PROBLEMS
  Graph a system of equations in slope-intercept or standard form
  
  ### King's cupcakes: Solving systems by elimination
  
  VIDEO 9:00 minutes
  Using simple elimination to figure out how many cupcakes are eaten by children and adults
  
  ### Solving systems of linear equations with elimination example 1
  
  VIDEO 4:18 minutes
  Practice solving systems of equations through simple elimination
  
  ### Solving systems of linear equations with elimination 1
  
  PRACTICE PROBLEMS
  Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).
  
  ### How many bags of potato chips do people eat?
  
  VIDEO 9:21 minutes
  Using elimination to solve a system of equations
  
  ### Systems with elimination practice
  
  VIDEO 5:31 minutes
  Example of solving systems of equations with elimination
  
  ### Solving systems of linear equations with elimination 2
  
  PRACTICE PROBLEMS
  Solving systems of equations with elimination.
  
  ### Talking bird solves systems with substitution
  
  VIDEO 5:21 minutes
  Solving systems of equations with substitution.
  
  ### Solving systems of linear equations with substitution example
  
  VIDEO 4:21 minutes
  
  ### Solving systems of linear equations with substitution
  
  PRACTICE PROBLEMS
  Solve systems of equations using substitution
  
  ### Solving systems of two linear equations
  
  PRACTICE PROBLEMS
  Solve systems of equations with substitution and elimination.
  
  ### DEPRECATED Systems of equations word problems
  
  PRACTICE PROBLEMS
  
  ### Inconsistent systems of equations
  
  VIDEO 9:25 minutes
  Systems of equations without a solution
  
  ### Infinite solutions to systems
  
  VIDEO 7:08 minutes
  Consistent, but dependent systems of equations
  
  ### Consistent and inconsistent systems
  
  VIDEO 5:29 minutes
  Consistent and Inconsistent Systems
  
  ### Independent and dependent systems
  
  VIDEO 5:10 minutes
  Independent and Dependent Systems
  
  ### Analyzing solutions to linear systems graphically 2
  
  VIDEO 6:36 minutes
  
  ### Analyzing solutions to linear systems graphically
  
  PRACTICE PROBLEMS
  
  ### DEPRECATED Solutions to systems of equations
  
  PRACTICE PROBLEMS