Actual timed Mathomatic output from the linear script

Mathomatic version 15.7.2
Copyright (C) 1987-2012 George Gesslein II.
200 equation spaces available in memory,
1920 kilobytes per equation space.
HTML color mode enabled; manage by typing "help color".
1−> 
1−> ; Combine 3 simultaneous linear equations with 3 unknowns (x, y, z).
1−> ; Solve for all 3 unknowns using the eliminate, solve, and simplify commands.
1−> 
1−> clear all ; restart Mathomatic
1−> ; enter all 3 equations:
1−> d1=a1*x+b1*y+c1*z

#1: d1 = (a1·x) + (b1·y) + (c1·z)

1−> d2=a2*x+b2*y+c2*z

#2: d2 = (a2·x) + (b2·y) + (c2·z)

2−> d3=a3*x+b3*y+c3*z

#3: d3 = (a3·x) + (b3·y) + (c3·z)

3−> 2 ; select equation number 2 as the current equation

#2: d2 = (a2·x) + (b2·y) + (c2·z)

2−> eliminate x ; eliminate variable x from the current equation
Solving equation #1 for (x) and substituting into the current equation...

                  a2·((b1·y) + (c1·z) − d1)
#2: d2 = (b2·y) − ––––––––––––––––––––––––– + (c2·z)
                             a1

2−> 3 ; select equation number 3

#3: d3 = (a3·x) + (b3·y) + (c3·z)

3−> eliminate x y ; eliminate variables x and then y from the current equation
Substituting the RHS of equation #1 into the current equation for variable (x)...
Solving equation #2 for (y) and substituting into the current equation...

                                                                b1·((z·((c2·a1) − (a2·c1))) + (a2·d1) − (d2·a1))
                                                            a3·(–––––––––––––––––––––––––––––––––––––––––––––––– + (c1·z) − d1)
         b3·((z·((c2·a1) − (a2·c1))) + (a2·d1) − (d2·a1))                     ((a2·b1) − (b2·a1))
#3: d3 = –––––––––––––––––––––––––––––––––––––––––––––––– − ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– + (c3·z)
                       ((a2·b1) − (b2·a1))                                                  a1

3−> z ; solve and find z

        ((d3·((a2·b1) − (a1·b2))) + (b3·((d2·a1) − (a2·d1))) + (a3·((b2·d1) − (b1·d2))))
#3: z = ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
        ((b3·((c2·a1) − (a2·c1))) + (a3·((b2·c1) − (b1·c2))) + (c3·((a2·b1) − (a1·b2))))

3−> 2 ; select equation number 2

        ((z·((c2·a1) − (a2·c1))) + (a2·d1) − (d2·a1))
#2: y = –––––––––––––––––––––––––––––––––––––––––––––
                     ((a2·b1) − (b2·a1))

2−> eliminate z using 3 ; find y by combining equation numbers 2 and 3
Substituting the RHS of equation #3 into the current equation for variable (z)...

         ((d3·((a2·b1) − (a1·b2))) + (b3·((d2·a1) − (a2·d1))) + (a3·((b2·d1) − (b1·d2))))·((c2·a1) − (a2·c1))
        (–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– + (a2·d1) − (d2·a1))
                   ((b3·((c2·a1) − (a2·c1))) + (a3·((b2·c1) − (b1·c2))) + (c3·((a2·b1) − (a1·b2))))
#2: y = ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
                                                           ((a2·b1) − (b2·a1))

2−> simplify

        ((a1·((d3·c2) − (d2·c3))) + (d1·((a2·c3) − (c2·a3))) + (c1·((d2·a3) − (d3·a2))))
#2: y = ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
        ((a1·((b3·c2) − (c3·b2))) + (c1·((a3·b2) − (b3·a2))) + (b1·((c3·a2) − (a3·c2))))

2−> 1 ; select equation number 1

        -((b1·y) + (c1·z) − d1)
#1: x = –––––––––––––––––––––––
                  a1

1−> eliminate z using 3 y using 2; find x
Substituting the RHS of equation #3 into the current equation for variable (z)...
Substituting the RHS of equation #2 into the current equation for variable (y)...

          b1·((a1·((d3·c2) − (d2·c3))) + (d1·((a2·c3) − (c2·a3))) + (c1·((d2·a3) − (d3·a2))))   c1·((d3·((a2·b1) − (a1·b2))) + (b3·((d2·a1) − (a2·d1))) + (a3·((b2·d1) − (b1·d2))))
        -(––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– + ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– − d1)
           ((a1·((b3·c2) − (c3·b2))) + (c1·((a3·b2) − (b3·a2))) + (b1·((c3·a2) − (a3·c2))))      ((b3·((c2·a1) − (a2·c1))) + (a3·((b2·c1) − (b1·c2))) + (c3·((a2·b1) − (a1·b2))))
#1: x = –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
                                                                                               a1

1−> 
1−> simplify all ; simplify and display all solutions

        ((c1·((b2·d3) − (b3·d2))) + (b1·((c3·d2) − (c2·d3))) + (d1·((b3·c2) − (c3·b2))))
#1: x = ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
        ((a1·((b3·c2) − (c3·b2))) + (c1·((a3·b2) − (b3·a2))) + (b1·((c3·a2) − (a3·c2))))


        ((a1·((d3·c2) − (d2·c3))) + (d1·((a2·c3) − (c2·a3))) + (c1·((d2·a3) − (d3·a2))))
#2: y = ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
        ((a1·((b3·c2) − (c3·b2))) + (c1·((a3·b2) − (b3·a2))) + (b1·((c3·a2) − (a3·c2))))


        ((b1·((d3·a2) − (a3·d2))) + (a1·((b3·d2) − (d3·b2))) + (d1·((a3·b2) − (b3·a2))))
#3: z = ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
        ((a1·((b3·c2) − (c3·b2))) + (c1·((a3·b2) − (b3·a2))) + (b1·((c3·a2) − (a3·c2))))

Finished reading file "linear.in".
1−> 
End of input.