Adding Equations in a System: Commonalities in Tables and Graphs

This lesson explores systems of equations, focusing on what they share with their sum. It covers the definition of a system of equations, provides an example, and explains how solutions are found. The lesson discusses the effects of multiplying and adding equations, showing that adding equations creates a new system with the same solution. Graphical representations and intersections are examined, emphasizing that the solution remains consistent. The lesson concludes by reinforcing the concept that adding equations results in a new system with the same solution point.

How do the tables of values and graphs help in understanding systems of equations?

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What is the relationship between the original equations and the new equation created by adding them?

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