Linear Equations

# Linear Equations - Here are two things to keep in mind:...

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Linear Equations: Solutions Using Graphing with Two Variables Example 1 Solve this system of equations by graphing. To solve using graphing, graph both equations on the same set of coordinate axes and see where  the graphs cross. The ordered pair at the point of intersection becomes the solution (see Figure 1).  Check the solution. The solution is  x  = 3,  y  = –2.  Figure 1. Two linear equations.

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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.
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Unformatted text preview: Here are two things to keep in mind: Dependent system. If the two graphs coincidethat is, if they are actually two 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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## This note was uploaded on 11/10/2011 for the course MATH 1310 taught by Professor Staff during the Fall '07 term at Texas State.

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Linear Equations - Here are two things to keep in mind:...

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