Question

For what value of k the equation X+Y+Z = 1
2X+Y+4Z = K
4X + Y + 10Z = K2

Answer 1

Answer:

K = 2

Step-by-step explanation:

X+Y+Z = 1

2X+Y+4Z = K

4X + Y + 10Z = K²

2X+Y+4Z - ( X+Y+Z) = K - 1

=> X + 3Z = K - 1

4X + Y + 10Z - (2X+Y+4Z) = K² - K

=> 2X + 6Z = K (K - 1)

=> 2(X + 3Z) = K (K - 1)

=> 2(K - 1) = K (K - 1)

cancelling K - 1 from both Sides

=> 2 = K

K = 2

Answer 2

Answer:

k=1and k=2

Step-by-step explanation:

by using elementary row Operation

when k=1

[1 1 1 [x = [1

0 -1 2 y -1

0 0 0] z] 0]

when k=2

[ 1 1 1 [x =[0

0 -1 2 y 0

0 0 0] z ] 0]