When solving a system of linear equations in x and y with a single solution, we get a unique pair of values for x and y. But what happens when we try to solve a system with no solutions or an infinite number of solutions?
As a classroom Algebra teacher I may not get "caught up" over whether a student could identify a system as consistent, inconsistent, dependent or independent, BUT as a teacher I should know the difference in case a student gets "caught up" over the terms. In my opinion, the entire WhyU series of videos should be mandatory viewing for all mathematics education students. Once again, well done Professor!
hi, as i understood by the word "system" you refer to the Cartesian plane and the graph of the equations. Please correct me if i am wrong. Again, thank you for these wonderful systematic, logical, philosophical math lectures.
Hello Arif. In this context, "system" refers to a system of simultaneous equations that must all be satisfied to produce a solution that satisfies all the equations in the system.
