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For which ordered pair (mu, delta) is the system x + 2y + 3z = 1, 3x + 4y + 5z = mu, 4x + 4y + 4z = delta inconsistent?

1. (1, 0)
2. (4, 6)
3. (3, 4)
4. (4, 3)

Correct answer: (4, 3)

Solution

The coefficients give the relation requiring delta = 2*mu - 2 for consistency; the pair (4,3) gives 2*4-2 = 6 != 3, so it is inconsistent.

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