Lesson 6: 7.3 Multivariable Linear Systems
Duration of Days: 3
Lesson Objective
Use back substitution to solve linear systems in row echelon form.
Use Gaussian elimination to solve systems of linear equations.
Solve nonsquare systems of linear equations.
Graphically interpret three variable linear systems.
Use system of linear equations to write partial fraction decompositions of rational expressions.
Use systems of linear equations in three or more variables to model and solve real life problems.
How do you solve systems of linear equations in more than two variables?
row echelon form, Gaussian Elimination,
HSA-REI.C.8: Represent a system of linear equations as a single matrix equation in a vector variable.
Use Khan Academy
Students will be prepared to study matrices later in this chapter when they understand how to solve a multivariable system of equations using Gaussian eliminations.
Use a system of equations to analyze the numbers of par 3, par 4, and par 5 holes on a golf course.
Encourage students to use a lot of space on their paper when solving these systems of equations in order to avoid making mistakes
Advanced students can work on p497 #88.
Use common assessments
PreCalc with Limits