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Posts tagged simultaneous equations

Solving a system of three linear equations

In this lesson we’ll look at how to solve systems of three linear equations in three variables. If a system of three linear equations has solutions, each solution will consist of one value for each variable. If the three equations in such a linear system are “independent of one another,” the system will have either one solution or no solutions. All the systems of three linear equations that you’ll encounter in this lesson have at most one solution.

Linear systems in two unknowns

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).