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-values 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:

simultaneous solution - line intersecting circle

Exercise for You

Where did (0.5, 1.5) for the center of the circle come from?

Easy to understand math videos: