There is an animal farm where chickens and cows live. all together, there are 84 heads and 210 legs. how many chickens and cows are there on the farm?

1 Chicken have = 2 legs

1 Cow have = 4 legs

No of cows = x

No of chickens = y

Total no of legs = 4x + 2y = 210(1)

Total No of heads = x + y = 84(2)

x = 84 - y( from (2) )

Substituting the above equation in (1)

4 ( 84 - y) + 2y = 210

336 - 4y + 2y = 210

336 - 2y = 210

-2y = -126

= y = 63

No of cows = 84-63 = 21

∴ Total no of cows = 21

Total no of chickens = 63

the answer is (-4,-4)

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