With this operation we will interchange all the

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Unformatted text preview: Sure enough x = -3 and y = 1 is a solution. So, since there are an infinite number of possible t’s there must be an infinite number of solutions to this system and they are given by, x=t 21 y=- t55 where t is any real number Systems such as those in the previous examples are called dependent. We’ve now seen all three possibilities for the solution to a system of equations. A system of equation will have either no solution, exactly one solution or infinitely many solutions. © 2007 Paul Dawkins 323 http://tutorial.math.lamar.edu/terms.aspx College Algebra Linear Systems with Three Variables This is going to be a fairly short section in the sense that it’s really only going to consist of a single example to illustrate how to take the methods from the previous section and use them to solve a linear system with three equations and three variables. As we will see these can be fairly involved problems and there is a third solution technique that is often easier to use on these types of systems. We will b...
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