Why parallel lines are contradictory systems?

If parallel, seems like they are redundant.

Hi, @Debatreyo_Roy, welcome to our community!

Remember that the solution to a linear system can be geometrically interpreted as the points where a set of lines intersect. In the case of two parallel (and distinct) lines, they never intersect, so there are no solutions to the linear system representing such set of equations.

I hope that clarifies your question. If not, please let me know.


Hello @lucas.coutinho, thank you for replying so quickly.
Yes it makes it clearer. I finished week 1 (Graded Quiz pending) just now.

Regarding my original doubt-
It has been resolved. Thank you for your detailed answer.
I like to think of it as the two sentences (i.e the parallel equations with different constants) are never true at the same time. Hence they contracdict each other. What do you think?