SOLUTION: I need to solve by substitution. Determine if its dependent, independent, or inconsistent. 2x – y = 4 2x – y = 3

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Question 319303: I need to solve by substitution. Determine if its dependent, independent, or inconsistent.
2x – y = 4
2x – y = 3
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
I need to solve by substitution. Determine if its dependent, independent, or inconsistent.
system%28++2x+-+y+=+4%2C%0D%0A++2x+-+y+=+3%29


Solve the first one for y:

2x+-+y+=+4
-y=-2x%2B4
y=2x-4

Substitute %282x-4%29 for y in the second equation:

++2x+-+y+=+3

++2x+-+%282x-4%29+=+3

++2x+-+2x+%2B+4+=+3

4=3

That's a false statement which tells us that the system of
equations is inconsistent and if we graph the two equations,
we get a pair of parallel lines, which of course can have
no points in common:

 

Edwin