Aparty rental company has chairs and tables for rent. the total cost to rent
5
chairs and
6
tables is
$53
. the total cost to rent
3
chairs and
2
tables is
$21
. what is the cost to rent each chair and each table?

Let the chair be x, and table be y

5 chairs and 6 tables = $53,       5x + 6y = 53

3 chairs and 2 tables = $21,        3x + 2y = 21

5x + 6y = 53(i)

3x + 2y = 21(ii)    x3

3*(3x + 2y) = 3*21

9x + 6y = 63(iii)

5x + 6y = 53(i)
-
9x + 6y = 63(iii)

-4x  + 0y = -10

-4x = -10

x = -10/-4

x = 2.5

Substitute x = 2.5, into 5x + 6y =53

5*2.5 + 6y = 53

12.5 + 6y = 53

6y = 53 - 12.5

6y = 40.5

y = 40.5/6

y = 6.75    

x = 2.5, y = 6.75

So the cost of renting chair is $2.50 and cost for table is $6.75

Hope this clarifies it.