Systems of Linear Equations A system of equations is a collection of two or more equations with a same set of 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. -Anon. 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: Collections: Mathematics