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.
