Find the condition on a, b, c so that the linear system of equations

x + 2y – 3z = a

2x + 6y – 11z = b

x – 2y + 7z = c

is consistent

1
-5a + 2b + c = 0
2
5a – 2b + c = 0
3
5a + 2b +c = 0
4
5a + 2b – c = 0

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