Classify the system as consistent or inconsistent and then determine the number of solutions.
-2x+3y+z=15
x+3y-z=-1
-5x-6y+4z=-16

Inconsistent, No solution, Consistent, Infinitely many solutions

Question

Classify the system as consistent or inconsistent and then determine the number of solutions. 
-2x+3y+z=15
x+3y-z=-1
-5x-6y+4z=-16

Inconsistent, No solution, Consistent, Infinitely many solutions

anonymous · Answer

Use matrices / cramers method

anonymous · Answer

-2 3 1      x            15
1 3 -1      y    = -1
-15 -6 4   z              -16

anonymous · Answer

find delta
-2 3 1
1 3 -1
-15 -6 4

then find x, y, and z, if delta = 0, then that should give you a good hint about system of equations