JEE Main 2025 Mathematics question
Let the system of equations x + 5y – z = 1 4x + 3y – 3z = 7 24x + y + λz = m, λ, μ ∈ **R**, have infinitely many solutions. Then the number of the solutions of this system, if x, y, z are integers and satisfy , is
Answer: (2)
Solution
λ = -17, μ=45. Parametrizing (x,y,z)=(4+12k,k,3+17k), condition gives k=0,1,2 — 3 solutions.