The simplex method is not applicable for directly solving linear equations like x1 + x2 = 5 and 2x1 + x2 = 4. Instead, it is designed to optimize a linear function subject to constraints represented by linear equations or inequalities. The user acknowledges this clarification and expresses gratitude for the information. Understanding the distinction between solving equations and optimization is crucial for applying the simplex method correctly. This discussion highlights the importance of knowing the appropriate mathematical techniques for different types of problems.