Practical Problem: The Length of the Spring on a Scale
Using the elimination method to solve a practical problem involving a scale, a spring, and some weights.
Solving the Same Word Problem Using One and Two Variables
Three different approaches to solving the same practical problem are demonstrated. Two approaches using one variable and a two-variable system all produce the same solution to the question of how many balcony seats and how many floor seats can be so...
Practical Problem: Ingredients for Small and Large Pizzas
Solve a practical problem involving making pizzas, given the ingredients available to use and how much of each ingredient is used for each pizza. The solution is demonstrated using both the elimination and the substitution methods.
Solving a Word Problem Using Two Variables
Writing and solving a word problem using a two-variable approach.
Review of Solving Systems of Equations by Substitution
Using the substitution method to solve a system of equation.
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...
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.
More About Using Least Common Multiples
The least common multiple strategy reveals a system of equations that has not solution.