PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like  the  crest  of a  peacock so  is  mathematics  at the  head of all knowledge.

Example

At a certain time in a deer park, the number of heads and the number of legs of deer and human visitors were counted and it was found there were 39 heads & 132 legs. Find the number of deer and human visitors in the park.

(Ans:27,12)

Ans: Let the no. of deers be x

And no. of humans be y

ASQ :

x + y = 39                    ---- (1)

4 x + 2 y = 132           ----- (2) Multiply (1) and (2)

On solving, we get ...

x = 27  and y= 12

∴ No. of deers = 27  and No. of humans = 12