Answer
C($\frac{7}{2}$,-1)
Work Step by Step
Points A and B have symmetry with respect to point C.
To find the coordinates of C given the points:
A(5,-3) and B(2,1)
C is the mid point of A and B
M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$)
C = ($\frac{5+2}{2}$, $\frac{-3+1}{2}$)
C($\frac{7}{2}$,-1)