Question

Without graphing, is each system independent, dependent, or inconsistent?
{-x - 3y = 0
{x - y = 4

Answer 1

Each system is independent.
Does that make sense? They are both their own equations.
Now if you want to find where they intersected, you could combine them. That would make them dependent.
Without graphing, they are independent.

Answer 2

If I may ask what makes a system independent, dependent, or inconsistent?

Answer 3

@Luigi0210

Answer 4

Use the internet my dear OS user.