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we have
we know that
To multiply two binomial I can use the FOIL method
therefore
the answer is
the missing coefficient of the x-term is
Recall your d = rt, distance = rate * time
the rate going south is 13, the rate going east is 10
it took a total amount of 6hours and 72miles for the whole travel
so.. if going say hmmm South, it covered a distance of "d", then going East it covered a distance of the slack from 72 and "d", it covered "72 - d" miles
so, if going South it took "t" hours, then going East it took the slack from 6 and "t", or "6 - t" hours
thus
solve for "t"
so, it travelled East for 6-t hours
the rate going south is 13, the rate going east is 10
it took a total amount of 6hours and 72miles for the whole travel
so.. if going say hmmm South, it covered a distance of "d", then going East it covered a distance of the slack from 72 and "d", it covered "72 - d" miles
so, if going South it took "t" hours, then going East it took the slack from 6 and "t", or "6 - t" hours
thus
solve for "t"
so, it travelled East for 6-t hours