Oracle 10g sqlplus login problems

I am running a server which I am connected to remotely.  The server OS is Red Hat Linux Enterprise 5 and the software giving me the problems is Oracle 10g version 10.2.0

I was originally getting this error when trying to enter sqlplus:

ERROR:
ORA-12162: TNS:net service name is incorrectly specified

However, I fixed that by running this command:
     export ORACLE_SID="system"

and now I get these problems when I try to sign into sqlplus:

ERROR:
ORA-01034: ORACLE not available
ORA-27101: shared memory realm does not exist
Linux Error: 2: No such file or directory

I have tried restarting the server and this has not corrected any problems.  Does anyone have any ideas?
spitfire0010Asked:
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Blue5WingCommented:
1. Check if your Oracle database is started.

2. Check the ORACLE_HOME environment variable if it matches the ORACLE_HOME used to start the database, as it is defined in /var/opt/oracle/oratab. In oratab you will find entries like this:

DEMO:/u01/app/oracle/product/10g:Y

In this case /u01/app/oracle/product/10g is ORACLE_HOME, DEMO is the SID, Y means it is started automatically at system boot.
You also need to set ORACLE_BASE.
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