I want to get solution of sys in terms of all vars ys and some others with Solve. How i suppose to force the Solve for?
In[]:=
sys={-x1+y1+y50,-x4+y20,y3-2x5y40,-1+2x4+y40,-x2+x5+y50};
In[]:=
ys={y1,y2,y3,y4,y5};al={y1,y2,y3,y4,y5,x1,x2,x3,x4,x5};
inspect solved vars
In[]:=
Solve[sys,al][[1,All,1]]
Out[]=
{y2,y3,x1,x2,x4}
In[]:=
Solve[sys,Reverse@al][[1,All,1]]
Out[]=
{x4,x2,y3,y2,y1}
sys is independent for the ys
In[]:=
MatrixRank@Grad[Subtract@@@sys,ys]Length@Xm
Out[]=
5
Out[]=
5
