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The system of equations $x + y + z = 6, 2x + y + z = 7, x + 2 y + z = 8$ has

1. A unique solution
2. No solution
3. An infinite number of solutions
4. None of these

### 1 comment

Ax = b has a unique solution if and only if rank[A] = rank[A|b] = n where n is number of unknown variables

x + y + z = 6, 2x+ y +z = 7, x + 2 y +z = 8

 1 1 1 6 2 1 1 7 1 2 1 8

we can also find it using Rank

Ax = b has a unique solution if and only if rank[A] = rank[A|b] = n where n is number of unknown variables

rank[A] = rank[A|b] = 3

hence unique solution

Option a

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1
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