x^2 + y^2 = r^2
(x + 2)^2 + ( y -1)^2 = r^2 set these equal for r^2
x^2 + y^2 = x^2 + 4x +4 + y^2 - 2y + 1
4x - 2y = -5 (1)
And
x^2 + y^2 = r^2
(x +3)^2 + ( y -2)^2 = r^2 set these equal for r^2
x^2 + y^2 = x^2 + 6x + 9 + y^2 - 4y + 4
6x - 4y = -13 (2)
Multiply (1) throughby -2 and add to (2) and we have
-2x = -3
x =3/2
To find y, use (1)
4(3/2) - 2y = -5
6 - 2y = -5
11 = 2y
y = 11/2
(x, y) = ( 3/2 , 11/ 2)