If the system of equations
x - 2y + 3z = 9
2x + y + z = b
x - 7y + az = 24
has infinitely many solutions, then a − b is equal to
If the system of equations
x - 2y + 3z = 9
2x + y + z = b
x - 7y + az = 24
has infinitely many solutions, then a − b is equal to
Asked by Shiksha User
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1 Answer
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D = |1 -2 3; 2 1; 1 -7 a| = 0 ⇒ a = 8
also, D? = |9 -2 3; b 1; 24 -7 8| = 0 ⇒ b = 3
hence, a-b = 8-3=5
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