# Is this nonlinear equation solvable?

1. Feb 5, 2013

2. Feb 5, 2013

### micromass

Staff Emeritus
Substitute a=xy and b=xz and solve the linear system.

Another way you can do it is by factoring out x.

3. Feb 5, 2013

### antibrane

It is giving you a solution,
$$y=\frac{1}{5x}\qquad z=\frac{4}{5x}$$
In fact that is an infinite number of solutions, since $x$ 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.