#### Answer

(10,20)
consistent and independent

#### Work Step by Step

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.