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

x - y = 6   | Adding 1st and 2nd EQs to eliminate y

 2x = 10

  x = 5  and y = -1    | 5 + y = 4, y = - 1

Independent System (one solution)

CHECKING our answer***

Using x - y = 6

 5 - (-1) = 6

Wish You the Best in your Studies.





 

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