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

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

3. 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

4. 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

5. 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

6. 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

7. 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