## Example 05 - Simultaneous Non-Linear Equations of Three Unknowns

**Problem**

Solve for *x*, *y*, and *z* from the following simultaneous equations.

$x^2 - yz = 3$ ← Equation (1)

$y^2 - xz = 4$ ← Equation (2)

$z^2 - xy = 5$ ← Equation (3)

**Solution**