how do you solve these three equation to getSolutionGoing by

how do you solve these three equation to get

Going by the final answer you have given I am assuming the first equation is incorrect and correct equation is

0.5747F_CA-0.5747F_DA=0 which gives, F_CA=F_DA

Substituting this in second equation gives

-0.6F_BA+0.5748F_CA=0

F_BA=0.958F_CA

Substituting this in last or third equation gives

0.8*0.958F_CA+2*0.7663F_CA-P=0

2.299F_CA=P

F_CA=0.435P=F_DA