use graphic method to solve the system of linear equations

Question

y = -x + 3 and y = x - 1

Answer 1

To solve this system of linear equations graphically, we will start by graphing each of the equations on the same coordinate plane.

First, graph the equation y = -x + 3. This is a straight line with a y-intercept of 3 and a slope of -1 (meaning it goes down 1 unit for every 1 unit to the right).

Next, graph the equation y = x - 1. This is also a straight line with a y-intercept of -1 and a slope of 1 (meaning it goes up 1 unit for every 1 unit to the right).

Now, looking at the graph, we can see that the two lines intersect at the point (2, 1). This means that the solution to the system of equations is x = 2 and y = 1.

So, the solution to the system of equations y = -x + 3 and y = x - 1 is x = 2 and y = 1.