SOLUTION: 5 pencils and 7 pens together cost rs.195. While 7 pencils and 5 pens together cost rs.153. Find the cost of each pencil and the pen.

Algebra ->  Linear-equations -> SOLUTION: 5 pencils and 7 pens together cost rs.195. While 7 pencils and 5 pens together cost rs.153. Find the cost of each pencil and the pen.      Log On


   



Question 763163: 5 pencils and 7 pens together cost rs.195. While 7 pencils and 5 pens together cost rs.153. Find the cost of each pencil and the pen.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Pencils = x
Pens = y
5x + 7y = 195...1
7x + 5y = 153...2
Multiply (1) by 5
Multiply (2) by 7
25x + 35y = 975...3
49x + 35y = 1071..4
subtract (3) from (4)
24x = 96
x = 4
Substitute x = 4
into (1)
5x + 7y = 195
20 + 7y = 195
7y = 195 - 20
7y = 175
y = 25
So, Pencils cost rs 4
Pens cost rs 25
Hope this helps.
:-)