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Find the condition on the real numbers $a,b$ and $c$ such that the following system of equations has a solution:

After calculation I get $a-2b-c=0$ will be the answer. Can anybody please confirm me please that I am correct or not.

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Looks fine to me. – DonAntonio Jan 20 '13 at 10:42

This CW answer intends to remove this question from the Unanswered queue.

You are correct (as already noted in the comments).

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