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Home » Systems of Equations

Systems of Equations
Easy-to-Follow Lessons

Unlock your potential—master Systems of Equations with confidence—solve real-world problems effortlessly

Graphing Method

1 hr 3 min 15 Examples

  • Introduction to Video: Graphing Method
  • System of Equations Overview and the three types of solutions
  • Examples #1-4: State whether the ordered pair is a solution to the system
  • Examples #5-8: By Inspection only, determine one, none or infinite number of solutions
  • Graphic Method Steps with Example #9
  • Examples #10-15: Solve the system by graphing

Substitution Method

1 hr 7 min 11 Examples

  • Introduction to Video: Substitution Method
  • Steps for using the substitution method with Example #1
  • Examples #2-9: Solve the system by substitution
  • Examples #10-11: Solve the system of three or more equations by substitution

Elimination Method

1 hr 22 min 11 Examples

  • Introduction to Video: Elimination Method
  • Steps for solving equations using the elimination method
  • Examples #1-4: Solve the system using linear combination
  • Examples #5-10: Solve the system using the elimination method by creating opposites
  • Example #11: Solve the system of three equations using linear combination

System of Inequalities

52 min 9 Examples

  • Introduction to Video: System of Inequalitites
  • Steps for solving system of inequalities with Example #1
  • Examples #2-4: Graph the solution set of the system of inequalities
  • Examples #5-7: Graph the solution set of the system of three inequalities
  • Examples #8-9: Write the system of inequalities given the graph of the solution set

Linear Programming

1 hr 36 min 7 Examples

  • Introduction to Video: Linear Programming
  • What is Linear Programming? and Linear Programming Steps
  • Examples #1-2: Find the max and min values given the graph of the feasible solution
  • Examples #3-4: Solve the Linear Programming problem to minimize cost
  • Example #5: Solve the Linear Programming problem to maximize earnings
  • Example #6: Solve the Linear Programming problem to maximize profit
  • Example #7: Solve the Linear Programming problem to determine maximum aid

Nonlinear Systems

1 hr 1 min 7 Examples

  • Intro to Video: Nonlinear Systems
  • Understanding Nonlinear Systems with Example #1
  • Examples #2-3: Solve the Nonlinear System involving a lines, parabola, and circles
  • Examples #4-5: Solve the Nonlinear System involving a circles and parabolas
  • Example #6: Solve the Nonlinear System involving a product of variables
  • Example #7: Solve the Nonlinear System involving absolute value

Chapter Test

1 hr 32 min 15 Examples

  • Examples #1-2: Determine whether the order pair is a solution to the system
  • Examples #3-4: Solve the System by Graphing
  • Examples #5-6: Solve the System by Substitution
  • Examples #7-8: Solve the System by Elimination
  • Examples #9-10: Solve the Nonlinear System
  • Example #11: Write the equation of the line that goes through the point of intersection
  • Examples #12-13: Solve the System of Inequalities
  • Examples #14-15: Solve the Linear Programming problem
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