use the graphing method to solve the system of linear equations.
y= -x+3 and y=x -1
To solve this system of linear equations using the graphing method, we will graph both equations on the same coordinate plane and look for the point where they intersect.
First, let's graph the equation y = -x + 3. To do this, we can start by plotting the y-intercept which is 3. Then, using the slope of -1, we can plot another point by moving one unit down and one unit to the right from the y-intercept. Drawing a straight line passing through these two points will represent the graph of the equation y = -x + 3.
Next, let's graph the equation y = x - 1. The y-intercept of this equation is -1, so we can plot this point first. Then, using the slope of 1, we can plot another point by moving one unit up and one unit to the right from the y-intercept. Drawing a straight line passing through these two points will represent the graph of the equation y = x - 1.
Now, we have both equations graphed on the same coordinate plane. The point of intersection is where the two lines intersect. By looking at the graph, we can see that the point of intersection is at (2, 1).
Therefore, the solution to the system of linear equations y = -x + 3 and y = x - 1 is x = 2, y = 1.