I have the system of equations: $$ \begin{cases} Ax + By + Cz &= D \\ Exy + Fxz + Gyz &= H \\ Ixyz &= J \\ \end{cases} $$ Where $A,B,C,D,E,F,G,H,I,J$ are constant integers between 1 and 9.

$x,y,z$ are the three variables that have to be functions of the letters above, and the system has to meet equality in all cases. I tried substitution of variables but I cannot do it with the nonlinear equations

Any contribution is highly appreciated :)

  • 1
    $\begingroup$ What are your first thoughts? What have you tried? Simply posting the question won't be well received. $\endgroup$ – Paras Khosla Mar 19 at 15:51

Below equation has numerical solution:

$\begin{cases} Ax + By + Cz &= D \\ Exy + Fxz + Gyz &= H \\ Ixyz &= J \\ \end{cases}$






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