Question

total number of legs in a herd of goats and hence is 40 rupees and this in the form of the equation of two variables

Answer 1

g= 4 legs per 1 goat
 h= 2 legs per 1 hen.Total legs given as 40.
so. 4g + 2h= 40
2(2g +h)=40
2g + h= 20 

Answer 2

⇝Given :

Total no. of leg in a herd of goats and hens is 40. Express this information in form of linear equation.

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⇝Solution :

${\orange{\mathbb{\maltese{\underline{\bf{Let}}}}}}$

${\mapsto{\text{No. of legs = goats = x}}}$

${\mapsto{\text{No. of \: legs = hens = y}}}$

${\orange{\mathbb{\maltese{\underline{\bf{Linear \: Equation :-}}}}}}$

${\leadsto{\sf{\purple{4x + 2y = 40}}}}$

❒Some equations that we can make :

4x + 2y = 40

${\mapsto{\bf{Let \: X = 4}}}$

${\leadsto{\sf{4 \times 4 + 2y = 40}}}$

${\leadsto{\sf{16 + 2y = 40}}}$

${\leadsto{\sf{ 2y = 40 - 16}}}$

${\leadsto{\sf{ y = {\cancel\frac{24}{2} }}}}$

${\red{\pmb{\bf{\underline{Y = 12}}}}}$

So,

${\large{\purple{:{\longmapsto{\underline{\boxed{\mathfrak{(X = 4 , Y = 12)}}}}}}}}$