The system of equations is
.
Subtract first and second equations.
\ 
Divide each side by 2.
\

The power of
.

Apply square roots on each side and eliminate squares.
\
Now solve for y, and substitute
in
.

Evaluate powers
.

Subtract 16 from each side.
\

The power of
.

Apply square roots on each side and eliminate squares.
\
The solutions are
.