Use the graphing method to solve the system of linear equations:%0D%0A%0D%0Ay = -x + 3 and y = x - 1
To solve this system of linear equations using the graphing method, we first need to graph each equation on the same coordinate plane.
The first equation is y = -x + 3. To graph this equation, we need to find at least two points that satisfy this equation. When x = 0, y = 3, so one point is (0, 3). When x = 3, y = 0, so another point is (3, 0). We can connect these two points to graph the line.
The second equation is y = x - 1. To graph this equation, we also need to find at least two points. When x = 0, y = -1, so one point is (0, -1). When x = 2, y = 1, so another point is (2, 1). We can connect these points to graph the line.
Now, we can see where the two lines intersect on the graph. The intersection point represents the solution to the system of equations.
The graph of y = -x + 3 is a line that passes through the points (0, 3) and (3, 0). The graph of y = x - 1 is a line that passes through the points (0, -1) and (2, 1).
The lines intersect at the point (2, 1), which means that the solution to the system of equations y = -x + 3 and y = x - 1 is x = 2 and y = 1.
Therefore, the solution to the system of linear equations y = -x + 3 and y = x - 1 is x = 2 and y = 1.