👉 The underlying mathematics involves solving a system of linear equations to find the values of variables in a given equation set, often using methods like substitution or elimination. We might also apply matrix algebra to represent and solve these systems more efficiently, especially when dealing with larger sets of equations. If the system is non-linear, techniques from calculus, such as finding critical points and analyzing derivatives, could be used to determine solutions. Additionally, numerical methods like the Newton-Raphson method or linear algebra techniques (e.g., Gaussian elimination) are employed to approximate solutions when exact algebraic solutions are complex or infeasible.
