The system of equations 3x – 6y = 20 and 2x – 4y = 3.
First, we need to get the solution of the equations through elimination.
2(3x – 6y = 20) --> 6x - 12y = 40
3(2x – 4y = 3) --> 6x -12y = 9
6x - 12y = 40
6x -12y = 9
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0.
So there is no solution. Then the system of equation is considered as (C) inconsistent.