Solving Systems of Equations Using Substitution

Tutoring on Solving Systems of Equations Using Substitution

Learning Objectives:

Understand to Solve Systems of Equations using Substitution

Math Tutoring on Solving Systems of Equations Using Substitution

Following are the steps to solve systems of equations using substitution:

Step one: We will solve for a variable in either one of the equations if neither equation already has a variable isolated.

Step two:  We will substitute in the other equation for the variable isolated. 

Step three: The substitution should result in an equation with one variable. Then we will solve this equation.   

Step four:  We will substitute the solution obtained in the previous step into one of the original equations to solve for the other variable.

Step five:  Check the result into both of the original equations, so we will substitute ordered pair solution for x and y in both of the equations.

 

 

 

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Hook Questions:

1.    What are the different methods to solve the system of equations?

2.    Why is this method known as the method of substitution?

3.    Is it necessary to check the result, if so then why?

 

 

 

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