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)
Variable Raised to a Variable
Example 01 - Simultaneous Non-Linear Equations of Three Unknowns
Problem
Solve for x, y, and z from the following simultaneous equations.
$z^x \, z^y = 100\,000$ ← equation (1)
$(z^x)^y = 100\,000$ ← equation (2)
$\dfrac{z^x}{z^y} = 10$ ← equation (3)