1.For the system of linear equations2x−y+3z=5,2x - y + 3z = 5,2x−y+3z=5,3x+2y−z=7,3x + 2y - z = 7,3x+2y−z=7,4x+5y+αz=β,4x + 5y + \alpha z = \beta,4x+5y+αz=β,which of the following is NOT correct?a.The system has infinitely many solutions for α=−5\alpha = -5α=−5 and β=9\beta = 9β=9b.The system has infinitely many solutions for α=6\alpha = 6α=6 and β=9\beta = 9β=9c.The system is inconsistent for α=−5\alpha = -5α=−5 and β=8\beta = 8β=8d.The system has a unique solution for α≠−5\alpha \neq -5α=−5 and β=8\beta = 8β=8Login to continueOnly logged in users canattempt or see the solution.