As far i am conern System testing is nothing but blackbox testing

i.e, under system testing we have functionality testing, performance testing, security testing and user interface testing.

Functionality Testing is a Part of System Testing.System Testing means the whole process of testing,it includes GUI,Functionality,Performance,Security Testings,i.e from Begining to Ending.

system testing :Testing that attempts to discover defects that are properties of the entire system rather than of its individual components.

Answer(2) is below is  Answe (1) is above.

system testing:System functional testing is a form of software testing that attempts to determine whether each function of the system works as specified

functional testing:Application of test data derived from the specified

functional requirements with out regard to the final program structure.

 sudhakar kolla.

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System testing - Black box type testing that is based on overall requirements specifications; covers all combined parts of a system

Functional Testing

·         Structure of the program is not considered.

·         Test cases are decided based on the requirements or specification of the program or module

·         Hence it is often called as “Black Box Testing”.

System Testing

·         Confirms that the system as a whole delivers the functionality originally required.

·         Follows the black box testing.