#### Answer

(10,12)
consistent and independent

#### Work Step by Step

C=0.4b+8
Plug the equivalent of C into the other given equation:
C=0.2b+10
(0.4b+8)=0.2b+10
0.4b-0.2b=10-8
0.2b=2
b=10.
Now that we have the answer for the b-value, plug it back into one of the original equations to find the answer for the C-value:
C=0.2b+10
C=0.2(10)+10
C=2+10
C=12.
Therefore the answer is (10,12). There is only one solution, so the system is consistent and the lines are independent.