Use the graphing method to solve the system of linear equations:
y = -x + 3 and y = x - 1
A (-1,2)(-1,2)
B (0,3)(0,3)
C (1,0)(1,0)
D (1,2)(1,2)
E (2,1)
To solve the system of equations, graph both equations on the same set of axes and find the point where they intersect:
y = -x + 3
y = x - 1
The system of equations represent two lines on the graph. The first equation has a y-intercept of 3 and a slope of -1. The second equation has a y-intercept of -1 and a slope of 1.
Plot the points (0,3) and (1,2) for the first equation, and (0,-1) and (1,0) for the second equation. The point where the two lines intersect is at (1,2).
Therefore, the correct answer is A: (1,2)(1,2).