Consider the system {x+y=52x−y=1x+2y=8\begin{cases} x + y = 5 \\ 2x - y = 1 \\ x + 2y = 8 \end{cases}⎩⎨⎧x+y=52x−y=1x+2y=8. Which statement is true?
The system has exactly one solution: (2,3)(2, 3)(2,3)
The system is inconsistent (no solution)
The system has infinitely many solutions
The system has exactly one solution: (3,2)(3, 2)(3,2)