Question 1122545
-2b + 3c = 1
3a + 6b - 3c = -2
6a + 6b + 3c = 5
--------------------  Add row 2 & 3
9a + 12b = 3 --> 3a + 4b = 1
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0a - 2b + 3c = 1
3a + 6b - 3c = -2
-------------------- Add row 1 & 2
3a + 4b = -1
-------------------
Inconsistent.
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GJE is not a good choice for this one, IMO.
If needed, look it up on Wikipedia.