SOLUTION: Hi. I need some assistance on how to work this problem out. Consider this system: {3(x+y)=x-3 -y=2x+3/3 I need to figure out if they are dependent or independent and if it's

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: Hi. I need some assistance on how to work this problem out. Consider this system: {3(x+y)=x-3 -y=2x+3/3 I need to figure out if they are dependent or independent and if it's       Log On

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Question 470317: Hi. I need some assistance on how to work this problem out.
Consider this system:
{3(x+y)=x-3
-y=2x+3/3
I need to figure out if they are dependent or independent and if it's consistent or inconsistent. Thank you for your time.
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

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.



3(x+y)=x-3

-y = (2x+3)/3 



 2x+3y = -3

-2x-3y = 3

   0 = 0  Dependent system, has infinitely many solutions

Graphically these EQs represent same Line