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Let the system of linear equations x + y + kz = 2 2 x + 3 y – z = 1 3 x + 4 y + 2z = k have infinitely many solutions. Then the system ( k + 1) x + 2( k – 1) y = 7 (2 k + 1) x + ( k + 5) y = 10 has :

1. Unique solution satisfying x + y = 1
2. Unique solution satisfying x – y = 1
3. Infinitely many solutions
4. No solution

Correct answer: Unique solution satisfying x + y = 1

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