Review of Solving Systems of Equations by Substitution
Using the substitution method to solve a system of equation.
Examples of Solving Systems of Equations Using the Elimination Method
The elimination method of solving a system of equations is demonstrated.
Practical Problem: Shelf Space
Using the substitution method with a system of equations to solve a practical problem involving use of shelf space.
Practical Problem: Pay Rate for Shipping Clerks
Practical problems that involve finding a single solution that satisfies two conditions or requirements can be solved using a system of equations. The substitution method is demonstrated in an example involving pay rates for two employee groups and ...
Solving Systems of Equations Using the Elimination Method by Adding
Explanation of the elimination method of solving a system of equations. Adding the equations to eliminate a variable is quicker than using the substitution method, but requires that both equations be in the same form and that the system contain an a...
Some Problems are More Easily Solved Using Two Variables
A practical problem is presented that demonstrates a situation in which two variables and a system of equations is the easiest way to reach a solution.
Solving a Rate-Time-Distance Problem Using Two Variables
Writing a two-variable system of equations to solve a practical problem involving rate, time, and distance using a table to help organize the information.
Review of Techniques for Solving Systems of Equations
Review of techniques that can be used in solving systems of equations, including the elimination method and the substitution method.
Practical Problem: Wages of an Electrician and an Apprentice
Using the elimination method of calculate the hourly pay rates of an electrician and his apprentice on two different jobs given the total cost of each job.
More About Using Least Common Multiples
The least common multiple strategy reveals a system of equations that has not solution.