Solving Systems of Equations by Graphing.pdf - SOLVING SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES In this section we\u2019ll learn to solve systems of

Solving Systems of Equations by Graphing.pdf - SOLVING...

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SOLVING SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES In this section we’ll learn to solve systems of equations. It’s important that we understand just exactly what is meant by a solution of a system of equations. The equations in the system represent lines in a plane. The solution of the system is the result of graphing both lines in the plane. Those lines may be parallel; they may be different names for the same line; or the lines may intersect in one point. Those are the only possible solutions. Most of the time, the lines will meet in a single point and the solution is an ordered pair. In order to be a solution to a system, the ordered pair must satisfy both equations. Consider 5 4 34 2 8
x y x y . Is (0, 3) a solution of this system?

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