#### Answer

(12,20)
consistent and independent

#### Work Step by Step

H=k+8
Plug the equivalent of H into the other given equation:
H=0.5k+14
(k+8)=0.5k+14
k-0.5k=14-8
0.5k=6
k=12.
Now that we have the answer for the k-value, plug it back into one of the original equations to find the answer for the H-value:
H=k+8
H=(12)+8
H=20.
Therefore, the answer is (12,20). Since there is only one solution, the system is consistent and the lines are independent.