Look at the picture.

We have the right triangle x, y and r. From the Pythagorean theorem we have:

We have the point

Substitute:


You multiply straight across, and one number is a fraction and the other is not.
8(p-2) = 32
8p - 16 = 32
+16 on each side
8p= 48
Divide by 8 on each side
P= 6
The "system" of equations can't be solved for (x, y), because there's no "system" of equations given. There's really only one equation.
Either of these two equations can be massaged to look exactly like the other one. And if you graph both equations, you find that they're both the same line on the graph.
ANY point on the line is a solution to both equations ... and we all know how many different points there are on a line.