#### Answer

(4,0)
consistent and independent

#### Work Step by Step

P=2t-8
Plug the equivalent of P into the other equation:
P=-5t+20
(2t-8)=-5t+20
2t+5t=20+8
7t=28
t=4.
Now that we have the answer for the t-value, plug it back into one of the original equations to find the answer for the P-value:
P=2t-8
P=2(4)-8
P=8-8
P=0.
Therefore, the answer is (4,0). Since there is one solution, the system is consistent and the lines are independent.