Summary: Chapter 6
Systems of Linear Equations
A system of equations is a collection of two or more equations with a same set of
unknowns. In solving a system of equations, we try to find values for each of the
unknowns that will satisfy every equation in the system.
We will have a need for subtraction, and occasionally we will divide, but mostly you
can describe linear equations as involving only addition and multiplication.
-Robert A. Beezer
You don't hate linear algebra, you hate the class you're in. There's a difference. Linear
Algebra is a beautiful subject.
Cyrus, from the "I Hate Linear Algebra" forum.
This section offers a treatment on setting up and solving linear systems of equations. In Chapter 1 we solved
for the intersection of pairs of lines. This is the simplest version of the more complicated skill we will be building
in this section. It would be good to review Section 1.2.1 before diving into this section. The section is also
arithmetic intensive so drink your power tea, do your breathing exercises, or lay in a supply of your favorite
snack, whatever it takes to do a whole lot of arithmetic accurately.
In Chapter 1 there was an easy
picture to work with. When solv-
ing a system like: