Answer:
Attached pleased find the screen grab of the graph with the line y = x - 4 included
The solution of the system of equations, y = x² - 4·x and y = x - 4 is directly found from the graph by the points of the intersection of the lines y = x² - 4·x and y = x - 4 which are (4, 0) and (1, -3)
x = 1 y = -3
or
x = 4 y = 0
Step-by-step explanation:
To verify, we have;
Equations y = x² - 4·x and y = x - 4 can be solved where they are equal as follows
Thus equating the value of y in both equations gives;
x² - 4·x = x - 4
x² - 4·x -x - 4 = 0
x² - 5·x + 4 = 0
(x - 4) × (x - 1) = 0
Therefore; x = 4 or 1
When x = 4, y = x - 4 = 1 - 4 = -3.
