Question

What is the major limitation of the graphical method of solving linear equations?

Answer 1

Hint: The graphical method of solving linear equations is an efficient way for the equations with two variables only as it is quick and easy. If the problem has three or more variables, the implication of the graphical method for solving is impractical.

Complete answer:
There are various limitations of the graphical method of solving linear equations, the major one being that the method is inapplicable to problems having three or more variables.
Other disadvantages of the method include that the results are not quite precise and are generally approximate. While doing the graphical approximations using the graphical method, even with large samples, they are not of minimum variance estimates and vary vastly because the values of the variables are scaled.
Also, we have to determine the suitable coefficient values of the variables at each step of the graphical representation. They are biased. Even the formal statistics cannot be performed with the graphical methods. The formulae and calculations cannot be shown, creating confusions and difficulty in understanding.
One should have a proper in depth knowledge of the mathematics subject to solve the problems related to graphical approximations, algebraic inequalities, applications of integrals and areas of different shapes using the graphical method.
So, these are certain limitations of the graphical method of problem solving.

Note:
This method of graphical representation of problem solving is extensively time taking and asks for lots of patience and knowledge about the particular subject. We first have to draw a sketch of the particular situation to analyze the problem and then use mathematical methods to solve the problem.