Hi,

 - 2x = 6y   OR  x = -3y

 8y = 7x



    8y = -21y

    8 ≠ -21     No Solution, Inconsistent system of EQs

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.

 

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