Answer
(-2,-1)
consistent and independent
Work Step by Step
B=4c+7
Plug the equivalent of B into the other given equation:
B=-3c-7
(4c+7)=-3c-7
4c+3c=-7-7
7c=-14
c=-2.
Now that we have the answer for the c-value, plug it back into one of the original equations to find the answer for the B-value:
B=4c+7
B=4(-2)+7
B=-8+7
B=-1.
Therefore the answer is (-2,-1). Since there is one solution, the system is consistent and the lines are independent.