Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / 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
Precalculus II / 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

Course: Elementary Algebra
Topic: Linear Systems
Subtopic: 2x2 Systems of Equations II - Substitution Method

Overview

There are two methods of solving a system of equations algebraically. We cover the first one in this lesson. The substitution method involves substituting one of the system's equations into the other 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:

• 5.2.1 Solve a 2x2 linear system of equations algebraically by the substitution method
• 5.2 2 While solving a system by the substitution method, recognize that the system has no solution
• 5.2.3 While solving a system by the substitution method, recognize that the system has an infinite number of solutions

Terminology

Terms you should be able to define: substitution, substitution 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).