Use the graphing method to solve the system of linear equations

Y equals negative X +3 and Y equals X minus one
(-1,2)
(0,3)
(1,0)
(1,2)

Plot the points (-1,2), (0,3), (1,0), and (1,2) on a graph.

Then draw lines passing through these points.

The two equations are y = -x + 3 and y = x - 1. These equations represent the two lines on the graph.

The point of intersection of these two lines is the solution to the system of linear equations.

The point of intersection on the graph appears to be (2,1).

Therefore, the solution to the given system of linear equations is x = 2 and y = 1.