## Solve Linear System w/Graphing Calulator Program

If
 Ax +By = C Dx +Ey = F
then
 CE-BF x= AE-BD
and
 AF-CD y = AE-BD

 Program SYST completes the computation.   PROGRAM:SYST :Input "A",A :Input "B",B :Input "C",C :Input "D",D :Input "E",E :Input "F",F :C*E-B*F G :A*F-C*D H :A*E-B*D I :G/I X :H/I Y :Disp X :Disp Y

 Notes You must Create then Edit the program before you run it. 1st: Press [PRGM], [NEW], 1:Create New 2nd: On Name=, type the name using the [ALPHA] shift key and the desired letters.     Note that the curser is already in the [ALPHA] mode. 3rd: In editing mode, find programing keys in [PRGM] [CTL] and [I/O] and [EXEC].  The is not a programming key but the [STO] button.  All the info you really need is G, H, I. With this X and Y can be computed even if program crashes because of coincident or parallel lines. :C*E-B*F G :A*F-C*D H :A*E-B*D I  Computing X and Y is just to make the user's life easier.That's what programming if for. :G/I X :H/I Y  In summary, (C*E-B*F)/(A*E-B*D) is G/I is X (A*F-C*D)/(A*E-B*D) is H/I is Y © 2007, A. Azzolino www.mathnstuff.com/math/spoken/here/2class/400/solvsys.htm
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