Final answer:
Lagrange multipliers involve solving a system of equations to find different values for maximizing or minimizing an objective function with given constraints.
Step-by-step explanation:
The trick with Lagrange multipliers is to solve a system of equations in order to find the different values. This method is used to find the maximum or minimum of an objective function subject to given constraints. It involves setting up and solving a system of equations, called the Lagrangian equations, by taking partial derivatives of the objective function and the constraints. By solving these equations, one can find the values that satisfy the constraints and optimize the objective function.