Posts tagged linear systems
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.

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Solving systems of equations with subscripts

In math and science you might meet a variable with a subscript. Don’t let them scare you, they’re just a way to keep track of variables that could be related to each other in some way. For instance, if we’re doing a problem involving the distance that two people travel, we might use the variables D_A and D_B to indicate the distances related to person A and person B, respectively.

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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).

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