Ana saw 7 kitten and 9 chicks at the pet store.
Step-by-step explanation:
Given,
Number of heads = 16
Number of legs = 46
A chick has 2 legs and a kitten has 4.
Let,
x represent the number of kitten and y represent the number of chicks.
According to given statement;
x+y=16 Eqn 1
4x+2y=46 Eqn 2
Multiplying Eqn 1 by 4
![4(x+y=16)\\4x+4y=64\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=4%28x%2By%3D16%29%5C%5C4x%2B4y%3D64%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 2 from Eqn 3
![(4x+4y)-(4x+2y)=64-46\\4x+4y-4x-2y=18\\2y=18](https://tex.z-dn.net/?f=%284x%2B4y%29-%284x%2B2y%29%3D64-46%5C%5C4x%2B4y-4x-2y%3D18%5C%5C2y%3D18)
Dividing both sides by 2
![\frac{2y}{2}=\frac{18}{2}\\y=9](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B18%7D%7B2%7D%5C%5Cy%3D9)
Putting y=9 in Eqn 1
![x+9=16\\x=16-9\\x=7](https://tex.z-dn.net/?f=x%2B9%3D16%5C%5Cx%3D16-9%5C%5Cx%3D7)
Ana saw 7 kitten and 9 chicks at the pet store.
Keywords: linear equation, elimination method
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