Let's assume the price of the washer is w and the price of the dryer is d.
w + d = 869
d - 81 = w
To find the cost of the dryer, we just need to substitute it for w in the first equation:
(d - 81) + d = 869
2d - 81 = 869
2d = 950
d = 475
The dryer is $475