(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.