The system of equations 2x+6y+11=0, 6y−18z+1=0, 6x+20y−6z+3=0,
is consistent
Has unique solution
is inconsistent
Cannot be determined
Augmented matrix AD=260-11 06-18-1620-6-3 R3→ R3-3 R1 ~16011 06-18-102-630 R3→ 3R3-R2 ~16011 06-18-100091 Here rankA=2 and rankAD=3 ⇒rankA≠rankAD ⇒The given system has no solution