Solving Systems


Solving systems of two equations in two variables is the primary topic of this chapter, and multiple methods of doing this are reviewed. These concepts are extended to solving systems of inequalities and systems of three equations in three variables.

What you can expect to learn

After completing these activities you should be able to:

  1. Solve systems of linear equations by graphing, substitution, and elimination.
  2. Classify a system of linear equations based on the number of its solutions.
  3. Solve word problems using systems of equations.
  4. Solve systems of inequalities.
  5. Solve linear programming problems.
  6. Sketch the graph of a first-degree equation in three variables.
  7. Solve systems of linear equations in three variables.
Activity List