0
$\begingroup$

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 :)

$\endgroup$
  • 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
0
$\begingroup$

Below equation has numerical solution:

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

$(x,y,z)=(2,1,1)$

$(A,B,C)=(2,3,1)$

$(E,F,G)=(1,2,3)$

$(D,H,I,J)=(8,9,1,2)$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.