Assume lots1 is known:
Lots1 *YYYDDD Lots2 *YYYDDD Lots3 *XXXDDD =0---------------1
Lots1 *XXXDDD Lots2 *ZZZDDD Lots3 *ZZZDDD =0 --------------two
-
Lots2 *YYYDDD Lots3 *XXXDDD = -Lots1 *YYYDDD ---------------1
Lots2 *ZZZDDD Lots3 *ZZZDDD = -Lots1 *XXXDDD ---------------two
-
Lots2 *ZZZDDD = - Lots1 *XXXDDD - Lots3 *ZZZDDD ---------------two
-
Lots2 *ZZZDDD = - (Lots1 *XXXDDD Lots3 *ZZZDDD) ---------------two
-
Lots2 = - (Lots1 *XXXDDD Lots3 *ZZZDDD)/ZZZDDD ---------------two
-
- (Lots1 *XXXDDD Lots3 *ZZZDDD)/ZZZDDD*YYYDDD Lots3 *XXXDDD = -Lots1 *YYYDDD ---------------1
-
(Lots1 *XXXDDD Lots3 *ZZZDDD)/ZZZDDD*YYYDDD-Lots3 *XXXDDD = Lots1 *YYYDDD ---------------1
-
Lots1 *XXXDDD/ZZZDDD*YYYDDD Lots3 *ZZZDDD/ZZZDDD*YYYDDD-Lots3 *XXXDDD = Lots1 *YYYDDD ---------------1
-
Lots3 *ZZZDDD/ZZZDDD*YYYDDD-Lots3 *XXXDDD = Lots1 *YYYDDD - Lots1 *XXXDDD/ZZZDDD*YYYDDD---------------1
-
Lots3 (ZZZDDD/ZZZDDD*YYYDDD-XXXDDD) = Lots1 (YYYDDD - XXXDDD/ZZZDDD*YYYDDD)---------------1
-
Lots3 = Lots1 (YYYDDD - XXXDDD/ZZZDDD*YYYDDD)/(ZZZDDD/ZZZDDD*YYYDDD-XXXDDD)
to simplify:
XXXDDD/ZZZDDD=XXXZZZ ------ SECOND PAIR.
ZZZDDD/ZZZDDD = 1
Lots3 = Lots1 (YYYDDD - XXXZZZ*YYYDDD)/(YYYDDD-XXXDDD)
DIVIDE ALL BY YYYDDD
Lots3 = Lots1 (YYYDDD/YYYDDD - XXXZZZ*YYYDDD/YYYDDD)/(YYYDDD/YYYDDD-XXXDDD/YYYDDD)
-
Lots3 = Lots1 (1 - XXXZZZ)/(1-XXXDDD/YYYDDD)
we know: XXXDDD/YYYDDD=XXXDDD
so:
Lots3 = Lots1 (1 - XXXZZZ)/(1-XXXYYY) -- Final Solution