(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.