Simplify the following text for a Grade 10 native English-speaking person.
Original: Using the Cartesian coordinate system , geometric shapes ( such as curves ) can be described by Cartesian equations : algebraic equations involving the coordinates of the points lying on the shape .
Simplified: Using the Cartesian coordinate system geometric shapes ( such as curves ) can be described by algebraic equations . Such equations are satisfied by the coordinates of the points lying on the shape .