(-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.