(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.