Need some help answering these questions in Algebra homework.?

My answered questions:

i. How many solutions of a system of two linear equations in two unknowns can exist?

There can be 0 solutions, 1 solution, or infinite solutions.

0 if the two equations can be graphed as parallel lines

1 if the two equations can be graphed as two intersecting lines

Infinite if the two equations represent the SAME line.

ii. How would each possible number of solutions appear graphically?

The solution(s) of a system of equations are visually represented by the intersection(s) between the lines.

2 intersecting lines

2 lines on top of each other (the same line)

2 parallel lines

iii. Create systems of linear equations with each possible number of solutions.

y=x+3, y=-2x-2; y=x+4, y=x+4; y=2x-6, y=2x+3

Professor's feedback:

You did a good job and also provided some examples in part (iii) but you

did not clearly state which one is which. I understand though and I think

you followed the order mentioned in part (ii). Is that right? Also, the third

and the fourth lines look exactly the same. I am assuming that it was for

the "Infinite" number of solutions. Is that the only possibility though? Is

it possible for the equations to look completely different but the solution

set still be "infinitely many"?

I am not exactly sure what he's saying or asking here? Can anyone give me some feedback how to answer his questions??