There are a total of 15 apartments in two buildings. The difference of two times the number of apartments in the first building and three times the number of apartments in the second building is 5.
a. Write a system of equations to model the relationship between the number of apartments in the first building f and the number of apartments in the second building s.
b. How many apartments are in each building?
(if it helps this deals with elimination)

Question

There are a total of 15 apartments in two buildings. The difference of two times the number of apartments in the first building and three times the number of apartments in the second building is 5. 
a. Write a system of equations to model the relationship between the number of apartments in the first building f and the number of apartments in the second building s.
b. How many apartments are in each building?
(if it helps this deals with elimination)

anonymous · Answer

15 total
15= f+s
2f-3s =5

solve:
f+s = 15
2f-3s =5

you can solve this various ways...
you can multiply the top eqn by 3 and add both eqns, so
you have 
3f + 3s = 45
2f-3s =5
-----------
5f = 50
f=10,
plug f=10 into one of the eqns and get s

anonymous · Answer

thank you person ^^ that's all i really needed i just get confuzzled with word problems

anonymous · Answer

okay. Great!