Question
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)
y = -x + 3 and y = x - 1
a (-1,2)
b (0,3)
c (1,0)
d (1,2)
e (2,1)
Answers
GPT 3.5
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.
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.