the pair of equations y=0 and y=2 hashow many solutions and why?

The equation y = 0 represents a straight line parallel to x-axis and the equation y = 2 is also represent a straight line parallel to x-axis and 2 units above the line y = 0.

We know that if  two lines are parallel to each other then they don't possess any common solution. So, the pair of equations y = 0 and y = 2 don't have any common solution.