Question

Mohan purchased 3 pencil and 1 pen for Rs.10 and Sumit purchased 2pencil and 3 pen for Es 16 find the price of one pen and one pencil algebraically.

Answer 1

the solution is given in the above pic
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Answer 2

Let the cost of a pen be Rs x
And the cost of a pencil be Rs y
A/Q,
3y+x=10
=>x=10-3y------->(i)
and,
2y+3x=16
=>2y+3(10-3y)=16[from (i)
=>2y+30-9y=16
=>-7y=-14[both side divided by -]
=>y=2------->(ii)
put (ii) in (i)
(i)=>x=10-3y=10-6=4

Therefore,
cost of a pen=Rs 4
cost of a pencil=Rs 2