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(I need help asap)
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 2 and the number of apartments in the second building.
(b) How many apartments are in each building?

Respuesta :

(a) The system of equations for the first building and the second building is x + y = 15   and 2x - 3y = 5.

(b) There are  10 and 5 apartments in each building.

Given that,

  • There is a total of 15 apartments in two buildings.
  • Also, the difference is of the two times the no of apartments in the first building and three times the no of apartments in the second building is 5.
  • Let us assume the first building is x and the second building be y.

Now based on the above information, the following equations are as follows:

x + y = 15   ...........(1)

2x - 3y = 5 ............(2)

Now

y = 15-x  

Now put the y value in equation (2)

2x -3(15-x) = 5  

2x - 45 + 3x = 5  

5x = 50  

x = 10,

And, y = 5

Therefore we can conclude that

(a) The system of equations for the first building and the second building is x + y = 15   and 2x - 3y = 5.

(b) There are  10 and 5 apartments in each building.

Learn more: brainly.com/question/24169758

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