Solving Systems of Equations & Inequalities Learning Goal 7 (Chapter 6)

Solving a system of linear equations Three ways: Graphing Substitution elimination

Graphing To solve a linear system by graphing, Graph each line in the system and identify the point where the lines intersect. Lesson 6-1: Analyzing special types of linear systems Lesson 6-1: Solving and interpreting a system of linear equations by graphing Lesson 6-1: Interpreting solutions of systems of linear equations

substitution To solve a linear system by substitution, solve for a variable in one equation and substitute it for the same variable in the second equation Lesson 6-2: Solving linear systems using substitution Lesson 6-2: Solving linear systems for real-world situations using substitution

elimination solving a linear equation by elimination involves adding the equations together in such a way as to eliminate one of the variables. Lesson 6-3: Solving linear systems using elimination, adding Lesson 6-3: Solving linear systems using elimination, multiplying first

Solving systems of linear inequalities To solve a system of linear inequalities, graph each inequality in the system and look for the region where the two solutions intersect. Lesson 6-5: Modeling real world situations using linear inequalities Lesson 6-6: Graphing systems of linear inequalities Lesson 6-6: Writing a system of linear inequalities Lesson 6-6: Using a system of linear inequalities

Applications of linear systems Finding a break even point Mixture problems Solving a wind or current problem Lesson 6-4: Writing and solving linear systems Lesson 6-4: Finding a break even point