The system of equations is
.
Subtract 33 from each side in equation (1).
\
equation (3)
Multiply equation (2) by 2.
\
equation (4)
Subtract (4) from (3) equations.
\ 
Subtract 4x from each side.
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can be written as
.





Subtract 1 from each side.
\


Add 5 to each side.
\

Now solve for y, and substitute
in
.


Subtract 1 from each side.
\

Divide each side by 2.
\


Apply square roots on each side and eliminate squares.
\

Now solve for y, and substitute
in
.


Subtract 25 from each side.
\

Divide each side by 2.
\


Apply square roots on each side and eliminate squares.
\

The solutions are
.