METHODS FOR SOLVING SYSTEMS OF EQUATIONS

This week we learned about the different methods for solving systems of equations.

Let’s go over what we have learned.

There are four ways of solving : inspection, graphing, substitution, and elimination.

INSPECTION

Inspection can be used when the equations are simple and able to be solved just by looking at them.

This method is time consuming and difficult to use when you are dealing with rather complex equations.

GRAPHING

Graphing makes it easy for you to find the solution of the equations because all you have to do is find the intersecting point of the two lines of the equations.

However, the points may result in decimals and if you wish to make it simpler, you may use the following two methods.

SUBSTITUTION

Substitution is the algebraic method that requires the act of substituting (that is, putting something in the place of another) to solve the equations.

It is a relatively quick method compared to the two above.

ELIMINATION

Elimination is the quickest way of solving equations so far.

It is used when all of the variables in the system of equations have a coefficient that is not 1.

You may either add or subtract the two equations to eliminate one of the variables in an equation.

This method saves you time and effort in the process of solving an equation.

I hope this helped with your understanding of the topic.