1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Is this nonlinear equation solvable?

  1. Feb 5, 2013 #1
  2. jcsd
  3. Feb 5, 2013 #2
    Substitute a=xy and b=xz and solve the linear system.

    Another way you can do it is by factoring out x.
     
  4. Feb 5, 2013 #3
    It is giving you a solution,
    [tex]
    y=\frac{1}{5x}\qquad z=\frac{4}{5x}
    [/tex]
    In fact that is an infinite number of solutions, since [itex]x[/itex] is just a free-parameter. You get this because not all of your equations are independent. In other words, one of the equations can be written as a linear combination of the other two.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook