SOLUTION: are the two equations -6+y=2x and 2y-4x=12 dependant?

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Question 842658: are the two equations -6+y=2x and 2y-4x=12 dependant?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

are the two equations -6+y=2x 0r  y -2x = 6 and 2y-4x=12 dependant?

 y -2x = 6 and 

2y -4x = 12 

Multiplying first by -2 and adding to 2nd EQ

-2y +4x = 12 and 

2y -4x = 12 

   0 = 0

A. Yes, because they have the same graph y = 2x+6 

A consistent system has at least one solution.

An inconsistent system has no solutions.

An independent system has exactly one solution.

A dependent system has infinitely many solutions. ****