SOLUTION: Solve the following system. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x - y = 4 2x

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Question 43029: Solve the following system. If a unique solution does not exist, state whether the system is inconsistent or dependent.
2x - y = 4
2x - y = 6
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Solve the following system. If a unique solution does not exist, state whether the system is inconsistent or dependent.
2x - y = 4
2x - y = 6
Subtract the 1st equation from the 2nd to get:
0=2
This is a contradiction meaning there is no solution.
The system is inconsistent because calling the pair of
equations a "system" implies that the "x" and the "y"
in both equations mean the same in both statements.
But we found that cannot be true. So the system is
inconsistent.
Cheers,
Stan H.

SOLUTION: Solve the following system. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x - y = 4 2x - y = 6