Use the graphing method to solve the system of linear equations:
y = -x + 3 and y = x - 1
a (-1,2)
b (0,3)
c (1,0)
d (1,2)
e (2,1)
To solve this system of linear equations using the graphing method, we will plot the two equations on the same graph and see where they intersect.
The first equation y = -x + 3 can be plotted as follows:
- When x=0, y = 3
- When x=1, y = 2
- When x=2, y = 1
The second equation y = x - 1 can be plotted as follows:
- When x=0, y = -1
- When x=1, y = 0
- When x=2, y = 1
Now we can plot these points on a graph:
Point a (-1,2)
Point b (0,3)
Point c (1,0)
Point d (1,2)
Point e (2,1)
When we plot these points, we can see that the two lines intersect at the point (1,2). Therefore, the solution to the system of linear equations is x = 1, y = 2.