4 equations, 4 unknowns

Discussion in 'Math' started by Malsch, Apr 23, 2011.

  1. Malsch

    Thread Starter New Member

    Mar 19, 2011
    First of all hi,

    I was working some mathematics and ended up with 4 unknowns with 4 equations. I tried substituting equations but ended up with squared unknowns as shown in the following picture:


    Any help on how to solve this would be greatly appreciated.

    Thank you.
  2. hgmjr

    Retired Moderator

    Jan 28, 2005
    The reason that you were unable to solve for the four unknowns with the technique you employed is that the equations are non-linear. The fact that some of the terms are the product of the unknowns is what makes it non-linear. A non-linear system of equations requires the use of numerical analysis techniques such as Newton-Raphson.