MathematicsMedium244×since 2002Q4630For the system of equations x+y+z=6x+y+z=6x+y+z=6 x+2y+αz=10x+2 y+\alpha z=10x+2y+αz=10 x+3y+5z=βx+3 y+5 z=\betax+3y+5z=β, which one of the following is NOT true?ASystem has a unique solution for α=3,β≠14\alpha=3,\beta\ne14α=3,β=14.BSystem has infinitely many solutions for α=3,β=14\alpha=3, \beta=14α=3,β=14.CSystem has no solution for α=3,β=24\alpha=3, \beta=24α=3,β=24.DSystem has a unique solution for α=−3,β=14\alpha=-3, \beta=14α=−3,β=14.Check answerSkip