Find whether no homogeneous system is consistent


Find whether no homogeneous system AX=b is consistent and if so, state solution in form X = XP + Xh, where Xp is particular solution of AX = b and Xh is solution of AX= 0, where no homogenous system equation:

2X - 4Y + 5Z = 8
-7X + 14Y + 4Z = -28
3X -6Y + Z = 12

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Mathematics: Find whether no homogeneous system is consistent
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