SOLUTION: a bank recycles its empty printer and copier cartridges. In january, the bank received $40 for 5 printer and 2 copier cartridges. In February, the bank received $57 for 6 printer a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a bank recycles its empty printer and copier cartridges. In january, the bank received $40 for 5 printer and 2 copier cartridges. In February, the bank received $57 for 6 printer a      Log On


   

Question 999220: a bank recycles its empty printer and copier cartridges. In january, the bank received $40 for 5 printer and 2 copier cartridges. In February, the bank received $57 for 6 printer and 3 copier cartridges. How much is the bank paid for an empty printer cartridge and for an empty copier cartridge?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
x = printer cartridges
y = copier cartridges
5x + 2y = 40........(1)
6x + 3y = 57........(2)
Multiply Equation 1 by 3
Multiply Equation 2 by 2
15x + 6y = 120 .......(1)
12x + 6y = 114 .......(2)
Subtract (2) from (1)
3x = 6
x = 2
Substitute x = 2 into Equation (1)
5x + 2y = 40
5(2) + 2y = 40
10 + 2y = 40
2y = 30
y = 15
Bank will be paid:
$2 for an empty printer cartridge
$15 for an empty copier cartridge
Hope this helps :-)