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For which of the following ordered pairs (μ, δ), the system of linear equations x + 2y + 3z = 1 3x + 4y + 5z = μ 4x + 4y + 4z = δ is inconsistent ?

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

Correct answer: (4, 3)

Solution

The ordered pair (4, 3) makes the system inconsistent because it leads to a contradiction when attempting to solve the equations, indicating that no solution exists for this specific combination of μ and δ.

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