Throughout Linear Algebra, we’ll be really interested in solving systems of linear equations, or linear systems. A linear system is a system of equations, defined for a set of unknown variables, where each of the variables is linear (the variables are first degree, or raised to the power of 1).
Read MoreWe can solve a system of linear equations using the method of elimination. The elimination method has us eliminate one of the variables from the system in order to solve for the value of the other variable, and then turn around and use that value to find the value of the eliminated variable.
Read MoreRemember that a solution to a system of equations is the set of numbers that makes all of the equations true. If a three variable system has a solution, it’ll have a solution for each of the three variables.
Read MoreThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Substitution will have you substitute one equation into the other; elimination will have you add or subtract the equations to eliminate a variable; graphing will have you sketch both curves to visually find the points of intersection.
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