Question 295619

B=0.20(100,000-T)
T=0.40(100,000-B) 
solve for b
t=.4*100000-.4b
t-.4*100000=-.4b
.4*100000-t=.4b
(.4*100000-t)/.4=b
100000-t/.4=b
b=.2*(100000-t)
b=.2*100000-.2t
set them equal
.2*100000-.2t=100000-t/.4
t=34782.6
b=.2*100000-.2t
b=13043.5,   t=34782.6

or 
B = 20000.-0.2T
T = 40000.-0.4B
B=13043.5,   T=34782.6