Figure3 - versions of the same equationthen the system is...

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Figure 1. Two linear equations. Solving systems of equations by graphing is limited to equations in which the solution lies close to  the origin and consists of integers; even then, that solution is an approximation solved by eyeballing.  For those reasons, graphing is used least frequently of all the solution methods. Here are two things to keep in mind:  Dependent system.  If the two graphs coincide—that is, if they are actually two 
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Unformatted text preview: versions of the same equationthen the system is called a dependent system , and its solution can be expressed as either of the two original equations. Inconsistent system. If the two graphs are parallelthat is, if there is no point of intersectionthen the system is called an inconsistent system , and its solution is expressed as an empty set {}, or the null set, ....
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