4. Algebraic Solutions of Linear Systems
a. Solving Systems of Equations Using Substitution
This method involves subsituting y (or x if it is easier) from one equation into the other equation. This simplifies the second equation and we can solve it easily.
Example:
Solve the system
using substitution.
b. Solving Systems of Equations Using Elimination
Our aim here is to eliminate one of the variables. It doesn't matter which one - we usually just do the easiest one.
Example:
Solve the system using elimination.
Later we will see how to solve systems of equations using determinants (okay for paper-based solutions) and matrices (very powerful and the best way to do it on computers).
Didn't find what you are looking for on this page? Try search:
The IntMath Newsletter
Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!
Algebra Lessons on DVD
Easy to understand algebra lessons on DVD. See samples before you commit.
More info: Algebra videos
Book mark this page
Add this page to Del.icio.us, Furl, Digg, StumbleUpon, Google, whatever...
Need a break? Play a math game. Well, they all involve math... No, really!
SNB files