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If the system,
2x − y + 3z = 2
x + y + 2z = 2
5x − y + az = b
Has infinitely many solutions, then the values of a and b, respectively, are:
  • a)
    -8 and 6
  • b)
    8 and 6
  • c)
    -8 and -6
  • d)
    8 and -6
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the system,2x − y + 3z = 2x + y + 2z = 25x − y + az = b...
Given linear system is:
2x − y + 3z = 2
x + y + 2z = 2
5x − y + az = b
Then augmented matrix form is written below;
For rank (A) < n = 3
'a' must be = 8
For rank [A ∣ B] < 3, b = 6
Therefore, a = 8 and b = 6
Hence, the correct option is (B).
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If the system,2x − y + 3z = 2x + y + 2z = 25x − y + az = bHas infinitely many solutions, then the values of a and b, respectively, are:a)-8 and 6b)8 and 6c)-8 and -6d)8 and -6Correct answer is option 'B'. Can you explain this answer?
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