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To solve the system of linear equations using the graphing method, we need to plot the two lines on a graph and see where they intersect.
The first equation is y = -x + 3. This line has a y-intercept of 3 and a slope of -1.
The second equation is y = x - 1. This line has a y-intercept of -1 and a slope of 1.
Plotting these lines on a graph, we see that they intersect at the point (1,2).
Therefore, the correct response is:
D (1,2)(1,2)