I have recently started learning linear algebra. Although I have studied in high school but that was just solving equations without knowing the purpose.
Coming straight to my question, for the following system of linear equations.
x1 + 2x2 = 5 2x1 + 3x2 = 8
After finding the value of
x2 they are plotted on the graph. Also, for the system
x1 + x2 = 2 x1 + x2 = 1
Author has written it has no solution as lines on the graph are parallel.
Why do we get parallel lines if system has no solution? Why after solving linear systems they are plotted on graphs? If we have solution plotted on 2D plan, can we write linear system from that?
This is my first attempt in learning mathematics. If I use wrong terms please correct me.