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Question
Use the graphing method to solve the system of linear equations:
y = -x + 3 and y = x - 1
Responses
A (-1,2)
B (0,3)
C (1,0)
D (1,2)
E (2,1)
explain your answer
To solve this system of linear equations using the graphing method, we need to plot the two lines y = -x + 3 and y = x - 1 on a graph and find the point where they intersect, which is the solution to the system.
For the first equation y = -x + 3, we can plot points by choosing values for x and solving for y. For example, when x = 0, y = 3. When x = 1, y = 2. Connect the points to draw the line.
For the second equation y = x - 1, we can do the same process to plot points and draw the line.
The point of intersection of the two lines is the solution to the system of equations. By looking at the graph, we can see that the point of intersection is (1, 2).
Therefore, the answer is D) (1, 2).