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4p + 2c = 160 (1)
5p + 6c = 270 (2)
Multiply equation (1) by 3 (both sides). Keep equation (2) as is.
12p + 6c = 480 (1')
5p + 6c = 270 (2')
From equation (1') subtract equation (1'). Doing this way, you eliminate the terms "6c", which cancel each other.
12p - 5p = 480 - 270
7p = 210
p = 210/7 = 30.
To find "c", substitute the found value p= 30 into equation (1)
4*30 + 2c = 160
120 + 2c = 160
2c = 160 - 120 = 40
c = 40/2 = 20.
ANSWER. A pen price is rs 30; a copy price is rs 20 for each.
Solved.
The method I used in my solution is called "the Elimination method".
You may check my solution on your own by substituting the found values into the original equations.
