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From i) you would have gotten x = 3, y = 4 or x = 3/7, y = 1/7
x = 3, y = 4 actually represents the coordinates of a point (3,4). It satisfies both equations. This means that (3,4) lies on both the line and the curve.
Since the point lies on both the line and curve , it must be the intersection point of the two.
Likewise for the point (3/7, 1/7).
So the intersection points are (3,4) and (3/7,1/7)
x = 3, y = 4 actually represents the coordinates of a point (3,4). It satisfies both equations. This means that (3,4) lies on both the line and the curve.
Since the point lies on both the line and curve , it must be the intersection point of the two.
Likewise for the point (3/7, 1/7).
So the intersection points are (3,4) and (3/7,1/7)