A one solution system of equations will simply be lines that have different slopes:
y = 2x + 4
y = 3x - 5
A zero solution system of equations will have the same slope:
y = 2x - 3
y = 2x + 2
And a infinite solution system of equations is when they are exactly the same line:
y = 2x - 3
2y = 4x - 6