Question

Is it possible for a reasonable system of linear equations in three variables to have a

unreasonable solution? Provide your reasoning.


Yes. There could be no solution to a reasonable system, which is unreasonable.

No. There are no unreasonable solutions.

Yes. When equations are modeled after real-world situations, they don't always result in
solutions that can be applied to the given situation, or may result in values that just don't
make sense.

No. The solution is always technically accurate. So if the solution is unreasonable, then the
entire system must be unreasonable

Answer 1

Answer: Yes. When equations are modeled after real-world situations, they don't always result in

solutions that can be applied to the given situation, or may result in values that just don't

make sense.

Explanation:

An unreasonable solution could be, for example, you want to make $1M in sales of your new rap song. If you sell 1 a day for .99 cents. How long will it take to make $1m? It would take 1,010,101 days or 2,767 + years. You may be living large—but you won’t live to see 2,767 birthdays so this is a solution, but an unreasonable one