1. The problem statement, all variables and given/known data Given : x+y+5z = 2 x+2y+7z = 1 2x−y+4z = a . a) Determine the value of a which will make the given system have many solutions. Explain your answer. b) Choose a value of a which will make the given system have NO solutions. Explain your answer. c) Is it possible to choose a value of a, which will make the given system have exactly one solutions? Explain your answer. 2. Relevant equations 3. The attempt at a solution I found the reduced matrix of the system of equations and got, 1 0 3 0 1 2 0 0 0 , but am not sure on what to do next.