By Inc. Waterloo Maple

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Since you cannot fix the order of elements in a set, solve will not necessarily return your solutions in the order x, y, z. However, lists do preserve order. Try the following. > eval( [x,y,z], s2 ); [− 28 635 70 70 59 527 − 7t − u, + 12 t + u, − − 7 t − u] 13 13 13 13 13 13 This command not only fixed the order, but it also extracted the right-hand side of the equations. Because the order is fixed, you know the solution for each variable. This capability is particularly useful if you want to plot the solution surface.

S2 := solve({eqn1,eqn2,eqn3}, { x, y, z}); 527 28 70 59 − 7t − u, z = − − 7 t − u, 13 13 13 13 635 70 y= + 12 t + u} 13 13 s2 := {x = − Exploring Solutions You can explore the parametric solutions found at the end of the previous section. For example, evaluate the solution at u = 1 and t = 1. > eval( s2, {u=1,t=1} ); {x = −220 861 −646 ,z= ,y= } 13 13 13 Suppose that you require the solutions from solve in a particular order. Since you cannot fix the order of elements in a set, solve will not necessarily return your solutions in the order x, y, z.

Then Maple returns the solutions in terms of the other unknowns. > s2 := solve({eqn1,eqn2,eqn3}, { x, y, z}); 527 28 70 59 − 7t − u, z = − − 7 t − u, 13 13 13 13 635 70 y= + 12 t + u} 13 13 s2 := {x = − Exploring Solutions You can explore the parametric solutions found at the end of the previous section. For example, evaluate the solution at u = 1 and t = 1. > eval( s2, {u=1,t=1} ); {x = −220 861 −646 ,z= ,y= } 13 13 13 Suppose that you require the solutions from solve in a particular order. Since you cannot fix the order of elements in a set, solve will not necessarily return your solutions in the order x, y, z.