What is the solution of the system x + y + z = 6, x + y - z = 2, and x - y + z = 4?
Correct answer: A. x = 2, y = 2, z = 2
- A. x = 2, y = 2, z = 2
- B. x = 3, y = 1, z = 2
- C. x = 1, y = 3, z = 2
- D. x = 2, y = 1, z = 3
Explanation
Subtracting the second equation from the first gives 2z = 4, so z = 2. The remaining equations then give x + y = 4 and x - y = 2, resulting in x = 3 and y = 1. Therefore, option b is correct.
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