For the system of linear equations \(\alpha x+y+z=1\), \(x+\alpha y+z=1, x+y+\alpha z=\beta\), which one of the followin…

It has infinitely many solutions if \(\alpha=2\) and \(\beta=-1\)

It has no solution if \(\alpha=-2\) and \(\beta=1\)

\(x+y+z=\frac{3}{4}\) if \(\alpha=2\) and \(\beta=1\)

It has infinitely many solutions if \(\alpha=1\) and \(\beta=1\)