Answer to Question #127858 in Algebra for Abdifitah Adan

Question

Reflect on the concepts of linear and non-linear systems. What concepts (only the names) did you need to accommodate the concept of linear and non-linear systems in your mind? What are the simplest linear system and non-linear system you can imagine? In your day to day, is there any occurring fact that can be interpreted as linear systems and non-linear systems? What strategy are you using to get the graph of linear systems and non-linear systems?

Answer 1

Linear is where systems of time are classified continuously, and if the system get in line with superposition principles then it is called linear. On the other hand non linear are those that controls system and it does not exist in real life situations. The simply linear system that I can imagine is a straight line in a graph and it easier than the non linear system.

On linear equations varies with the slopes in between the lines example of it equation can be $y = x^2$ .They are not straight and it might be curve that has variable value in a graph. And in most cases the linear system are used in equation to make come up with a line. In most cases the systems are interpreted using equations. The linear equations given in x-y graph with a straight line. The pieces holding the x and y intercepts horizontal and vertical respectively..The non linear system contains two or many equations that are variable and most likely forms a curve.

Finding a equation in this form $Ax+By+C=0$ that is no linear. Strategy that you can use to get a linear system in graphs is first simplify the equation of both ends, then place same variables together and then making the variable term coefficient that equate to zero. On the non linear system, since it is a system with more than two variables then the variables will bring up a curve.