Question

Which system is inconsistent and independent?

Answer 1

D

Explanation:

x-y-z=2
z+y-z=3
-x+y+z=4

Answer 2

Consider the last set of equations:-

x - y - z = 2...........................(1)

x + y - z = 3..........................(2)

-x + y + z = 4........................(3)

Subtract:- (2) - (1) (x and z's disappear):-

2y = 1

y = 1/2

Now add:- (2) + (3):-

2y = 7

y = 3 1/2

Therefore this set is

inconsistent and independent.