We solve the 2 equations simultaneously by substituting the expression
y = x -1
into the expression
[See some background to this at: Algebraic Solution of Systems of Equations.]
We have:
So we see that the solutions for x are x = 1 or x = 2. This gives the corresponding y-vales of y = 0 and y = 1.
So the points of intersection are at: (1, 0) and (2, 1).
We can see that our answer is correct in a sketch of the situation:
Where did (0.5, 1.5) for the center of the circle come from?
