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What is the nature of the solution for the equations x + y + z = 3, 2x + y + 2z = 5, and x − y + 3z = 3?

1. A unique solution where x = 1, y = 1, z = 1
2. An infinite number of solutions
3. No possible solution
4. None of the above

Correct answer: A unique solution where x = 1, y = 1, z = 1

Solution

The solution for the equations is a unique solution where x = 1, y = 1, z = 1 because the system of equations has a single, well-defined solution.

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