SOLUTION: State whether the system is consistent and independent, consistent and dependent, or inconsistent: x + y = 4 2x - y = -7

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Question 445966: State whether the system is consistent and independent, consistent and dependent, or inconsistent: x + y = 4
2x - y = -7
Answer by ewatrrr(24785) 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.

 x + y = 4

2x - y = -7

  3x = -3

   x = -1  and y = 5    Ordered pair (-1,5) the solution for this Independent System