Let α,β, and γ be real numbers. Consider the following system of linear equations:
x + 2y + z = 7
x + αz = 11
2x - 3y + βz = γ
Match each entry in List I to the correct entries in List II
List I | List II |
(P) | If β=21(7α - 3) and γ=28, then the system has | (1) | a unique solution |
(Q) | If β=21(7α - 3) and γ=28, then the system has | (2) | no solution |
(R) | If β=21(7α - 3) where α=1 and γ=28, then the system has | (3) | infinitely many solutions |
(S) | If β=21(7α - 3) where α=1 and γ=28, then the system has | (4) | x = 11, y = - 2 and z = 0 as a solution |
| | (5) | x = -15 , y = 4 and z = 0 as a solution |