Use the graphing method to solve the system of linear equations y equals negative x + 3 and Y = X - 1 a -1, 2 B 0, 3 C 1, 0 d 1, 2 c 2, one
To solve the system of linear equations y = -x + 3 and y = x - 1 using the graphing method, we can plot both equations on a graph and see where they intersect.
First, graph the equation y = -x + 3:
- Plot the y-intercept at 3 (0, 3)
- Find the x-intercept by setting y = 0: 0 = -x + 3, x = 3 (3, 0)
- Draw a line through the two points
Next, graph the equation y = x - 1:
- Plot the y-intercept at -1 (0, -1)
- Find the x-intercept by setting y = 0: 0 = x - 1, x = 1 (1, 0)
- Draw a line through the two points
The two lines will intersect at the point (2, 1).
Therefore, the solution to the system of linear equations is x = 2, y = 1.
The correct answer is (C) 2, 1.