Question

There are three ways to solve a system of equations: by elimination (sometimes called addition), by substitution, and by creating a graphical representation. Of these, which method is the best? Why? Consider possible advantages and disadvantages of each.

Answer 1

There are three methods to solve the system of linear equations. They are Graphical, substitution and Elimination. All three have their pros and cons, but gives same answer. Let us discuss them in detail.

Graphing: It is by using graph. We sketch the graph for system of equations and find the solution by finding the point of intersection.

Pros: It provides visualisation to the new student , who is understanding the method

cons: It is less appropriate and takes more time.

Substitution: Substition gives that advantage of having an equation alrady written for the second variable when you find the first one.

Pros:It is best used when one (or both) of the equations is already solved for one of the variables. It also works well if one of the variables has a coefficient of 1.

Elimination: Elimination is best used when both equations are in standard form (Ax + By = C).

Pros: Elimination is also the best method to use if all of the variables have a coefficient other than 1.

Elimination is the best method , if you are not sure which method to use. Again it is an individual perspective to select a method.