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.
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Put the lines in slope intercept format:
y = mx + b, m=slope, b = yintercept.
If the slope is the same they are parallel.
If they are parallel and the yinercept
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 yintercept. 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?
Sep 23

Andrew M.