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The three equations,

–2x + y + z = a

x – 2y + z = b

x + y – 2z = c

has 

  • a)
    no solution if a+b+c≠0

  • b)
    unique solution if a+b+c=0

  • c)
    infinite number of solutions if a+b+c=0

  • d)
    none of these

Correct answer is option 'A,B'. Can you explain this answer?
Verified Answer
The three equations,–2x+y+z=ax– 2y+z=bx+y– 2z= chasa...






Hence, the system won't contain any solution unless a + b + c becomes 0.


The correct answer is a,b
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