JEE Main 2026 Mathematics question
If the system of linear equations: x + y + z = 6, x + 2y + 5z = 10, 2x + 3y + λz = μ has infinitely many solutions, then the value of λ + μ equals:
Answer: (C)
Solution
For infinitely many solutions the third equation must be the sum of the first two: (x+y+z)+(x+2y+5z)=2x+3y+6z=16. So λ=6, μ=16 and λ+μ=22.