Use the graphing method to solve the system of linear equations
Why equals negative X +3 and Y equals X minus one
To graph the system of equations Y = -X + 3 and Y = X - 1, we will graph each equation on the same coordinate plane.
First, let's graph the equation Y = -X + 3 by finding two points on the line. We can choose X = 0 to find the Y-intercept, which is Y = 3. Another point we can choose is X = 2, which gives us Y = -2 + 3 = 1. So, we have the points (0, 3) and (2, 1) on the graph.
Next, let's graph the equation Y = X - 1 by finding two points on the line. We can choose X = 0 to find the Y-intercept, which is Y = -1. Another point we can choose is X = 2, which gives us Y = 2 - 1 = 1. So, we have the points (0, -1) and (2, 1) on the graph.
Now, graph both lines on the same coordinate plane using the points we found:
Y = -X + 3 (red line) passes through (0, 3) and (2, 1)
Y = X - 1 (blue line) passes through (0, -1) and (2, 1)
The point where the two lines intersect is the solution to the system of equations, which in this case is X = 2 and Y = 1.
So, the system of equations Y = -X + 3 and Y = X - 1 is solved when X = 2 and Y = 1.