Explain how you can determine whether a system of two linear equations will be consisten, dependent, or inconsistent?

Answer 1

consistent if their slopes are different
x+y=5
2x-3y=6

dependent if one equation is a multiple of the other.
2x+3y=9
4x+6y=18

inconsistent if the slopes are the same, but one equation is not a multiple of the other.

3x-y=8
9x-3y=5