A system has the augmented matrix [12∣536∣15]\begin{bmatrix} 1 & 2 & | & 5 \\ 3 & 6 & | & 15 \end{bmatrix}[1326∣∣515]. Which statement is correct?
The system is inconsistent (no solution).
The system has a unique solution.
The system has infinitely many solutions: x=5−2t,y=tx = 5 - 2t, y = tx=5−2t,y=t for any real ttt.
The system has infinitely many solutions: x=t,y=5−t2x = t, y = \frac{5-t}{2}x=t,y=25−t for any real ttt.