Systems of Linear Equations
I'm back! Sorry for the tardiness, but college students never have much extra time on their hands. Anyway, today's post will be a mathematical review; coming directly from a recent tutoring session in which I helped a student with systems of linear equations . Systems of linear equations can be solved by using either the substitution method, the addition method, or the graphical method. Sometimes more than one method is required, especially for systems of three equations, each with the same three variables. Personally, I prefer the addition and substitution methods, but the graphical method is fine, too. Say we are given the following system of linear equations: This is very simple and straightfor ward example. We can solve this easily using the addition method, which would simplify to 3x = 6 , which would further simplify to x = 2 . Using this result, we can solve for y : (2) - y = 1 à 2 - 1 = y à y = 1 . Or 2(2) + y = 5 à 4 + y = 5 à y = 1 . Our answer
