## Intermediate Algebra: Connecting Concepts through Application

W=4p-20 Plug the equivalent of W into the other given equation: W=$\frac{1}{2}$p+15 (4p-20)=$\frac{1}{2}$p+15 2(4p-20)=p+30 8p-40=p+30 8p-p=30+40 7p=70 p=10. Now that we have the answer for the p-value, plug it back into one of the original equations to find the answer for the W-value: W=4p-20 W=4(10)-20 W=40-20 W=20. Therefore, the answer is (10,20). There is only one solution, so the system is consistent and the lines are independent.