Please show all work and equations used Allso can this be do

Please show all work and equations used. Allso, can this be done on a calculator?

Determine all values of h and k for which the system 7x + 4y + 4z = -4 2x + 2y - 8z = -5 -25x - l6y + hz = k has no solution k is not equal to h=

7x + 4y + 4z = -4
Multiply by -3 :
-21x - 12y - 12z = 12 ---> ONE

2x + 2y - 8z = -5
Multiply by 2 :
4x + 4y - 16z = -10 --> TWO

Subtracting ONE - TWO :

-21x - 12y - 12z - (4x + 4y - 16z) = 12 - (-10)
-25x - 16y + 4z = 22 --> THREE

The given equation is :
-25x - 16y + hz = k

So, quite simply, we can say :

k \"not equal to\" 22
h = 4