Answer
The solution for this system is X=-5, which comes from the ordered pair of (-5,3).
Work Step by Step
Solving this equation by table can be done by first mapping the two equations ($y=2x-13$ and $y=x-9$) in the y= field on the graphing calculator and using the tblset function to set a start of TblStart 0 and Tbl= 1. Following these steps and viewing the table using the "table" function, we can see that the point in which both y1 and y2 are equal is at X= -5.
Using a graph to solve this begins the same by mapping both equations ($y=2x-13$ and $y=x-9$) in the y= field and graphing them with the GRAPH function. Following these steps, we can use the CALC function (2nd + TRACE) and select the intersect option. After selecting a point on either graph, the calculator finds the point at which both of these graphs intersect, which is at (-5,3). This shows that X=-5 is a solution to this system. Attached is a sketch of this graph.
