Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis

Course: Algebra I / Elementary Algebra
Topic: Linear Systems
Subtopic: 2x2 Systems of Equations III - Elimination Method

Overview

There are two methods of solving a system of equations algebraically. We cover the second one in this lesson. The elimination method involves adding the system's equations together with the goal of eliminating a variable so you can solve to the remaining variable.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 5.3.1 Solve a 2x2 linear system of equations algebraically by the elimination method
• 5.3.2 While solving a system by the elimination method, recognize that the system has no solution
• 5.3.3 While solving a system by the elimination method, recognize that the system has an infinite number of solutions

Terminology

Define: elimination, elimination method (a.k.a. addition method, addition-elimination method) of solving a system of equations

Text Notes

As you work through the examples and exercises algebraically, try checking your answers by graphing electronically.

SKIP any examples/exercises covering "supply and demand", "curve fitting", or "linear regression" (now and throughout the entire course).