Hi,

Note

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.

find K for inconsistent system of equation

4x + 6y = 11

2x + Ky = 7  K = 3



4x + 6y = 11

2x + 3y = 7  |multiplying thru by -2 to  eliminate the x variable

4x + 6y = 11

-4x +-6y = -14  |multiplying thru by -2 to  eliminate the x variable

   0 ≠ -4  NO solutions 

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