Answer
the 5th month
Work Step by Step
One satellite service charges 10 dollars per month with a 20 dollar activation fee so the expression for it would be $10m+20$ where m= the months.
The other satellite service charges 11 dollars per month with a 15 dollar activation fee so the expression for it would be $11m+15$
Since you have to find when they will cost the same you make the two expressions equal to each other $10m+20=11m+15$
Then solve to find $m=5$