In thisdiscussion, you will be creating your own application problems thatyour fellow classmates will solve using systems of linearequations. Let’s first look at an example. When creating anapplication problem, it is helpful to begin with the solution tothe problem.
So, forexample, if you start with the solutions (a rectangular garden withwidth = 8 ft, length = 10 ft), then you must find two ways thesequantities relate to each other and give this information as cluesin the problem statement. In this case, the two ways are with theperimeter = 36 ft, and the fact that the length is 2 ft longer thanthe width). So, your problem statement would be:
\"Find the width and length of a rectangulargarden if the length is two feet longer than the width and theperimeter is 36 feet.\"
Remember thatwe are dealing with systems of linear equations. That meansyou cannot use area or volume formulas, since those are nonlinear,meaning that they contain squared and cubed variables,respectively.
Now,let's begin our discussion of applicationproblemsinvolving systems of linearequations.
- Formulate two application (real-world)problems that can be solved with a system of equations in either 2or 3 variables. Check your problemstatements to make sure they include all of theinformation necessary to write down the governingsystem of equations.
- Using your problem statements, set up and solve thesystem of equations for each of your two problemsyourself.
- Save the solutions and use them to respond to those whoreply to your problems.
- Post your two problems in the discussionboard:
- Give the problem statement only.
- Do NOT give the system ofequations needed to solve the problem or the solution.
