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how many solutions are there for pair of equations y=0 and y=5 and why?explain it

plz explain the solution in brief and show the solutions step wise.
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2 Answers

y cannot be both 0 and 5 at the same time; these equations contradict each other, so that 'system' has NO solution.
Hi Adharsh:
 
y = 0
y = 5
 
These are both horizontal lines, parallel to each
other.  As such there is no crossing point,
or point in common, thus the system has no
solution.
*******************************
Put the lines in slope intercept format:
y = mx + b, m=slope, b = y-intercept.
If the slope is the same they are parallel.
If they are parallel and the y-inercept
is different, the lines never cross.
 
y = 0
y = 0x + 0
m = 0, b = 0
 
y = 5
y = 0x + 5
m = 0, b = 5
 
Same slope, different y-intercept.  No solutions.
 
The same is immediately true of a vertical line
of form x = n  where n is some number.
This is a vertical line, straight up and down.  
If we have two lines, x = a, x = b and 
a and b are different the lines never cross.
 
Understand?