I am trying to create 2 html tabels side by side but my second table keeps appearing below my first table. How do I create 2 tables side by side?

What do you mean by "side by side"?

first make a table consists of 2 cells: one row, two columns with borders=0
so it will not appear to the user.
then in each cell construct your table...
by this way they will appear side by side

Yup...

One more tip. IE and Opera will display tables centered by default. Firefox aligns them left. To get around this, you can create "dummy" cells that contain a simple no break space to the left and right of your actual content and set the width to "auto". That way it'll be centered.