System of Equations: Motion!!?

Question

With the aid of a tail wind an airplane travels 3246 miles in 6 hours. During the return trip, the plane flies against the wind and the flight takes 6.2 hrs. What is the speed of the wind?

The answer is 9 for the speed of the wind but I dont know how to solve it for it and get the right answer.

Answer 1

part 1

d = vt

d = (w+v)t where w = wind speed

3246 = (v+w)6

part 2

3246 = (v-w)6.2

2 eq, 2 unknowns

get rid of fractions, multiply out

32460 = 62v - 62w

3246 = 6v + 6w

v + w = 541

w = 541 - v

subst

32460 = 62v - 62(541 - v)

32460 = 62v - 33542 + 62v

124v = 66002

v = 532.2 mph

w = 541 - 532.2 = 8.7 mph

if I didn't make an arith mistake...