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The system of equations
x+2y+2z=5,
x+2y+3z=6,
x+2y+λz=μ
has infinitely many solutions if
- A.
λ=2
- B.
λ=2, μ=5
- C.
λ=2, μ=5
Explanation
Solution:
From (1) and (2):
Substitute z=1 in (1):
Substitute z=1 in (3):
For infinitely many solutions, (4) and (5) must be identical:
Checking Option (A):
Correct Option: (C)
Explanation
Solution:
From (1) and (2):
Substitute z=1 in (1):
Substitute z=1 in (3):
For infinitely many solutions, (4) and (5) must be identical:
Checking Option (A):
Correct Option: (C)
