Real Life Applications of Solving Linear Equations
p. 507 #69, 71, 72
Assignment
7.1 & 7.2 Quiz - 10 points
Solving systems of equations by substitution, by graphing, and by elimination.
Lesson
7.3 Multivariable Linear Systems
Objective: Students will know how to solve nonsquare systems of equations, recognize linear systems in row-echelon form and use back-substitution to solve the system.
I. Row-Echelon Form and Back-Substitution p.509 -
A system of equations in row-echelon form will have a "stair-step" pattern with leading coefficients of 1.
Example 1 - Solve the system of equations that is in row-echelon form.
II. Gaussian elimination
Solving a system of equations by transforming it into row-echelon form is Gaussian elimination.
We use the Elementary Row Operations (p.510) to transform a system of equations into row-echelon form.
Example 2 - using Gaussian Elimination to Solve a System
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