Question

Answer This Question ;Only Best Users

Question:-
Total numbers of leg in a herd of goats and hens is 40. Express this information in the form of linear equation of two variables .

Note:-Don't Spam​

Answer 1

⇝Given :

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

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

⇝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,

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

Answer 2

Given:-

‏‏‎ ‎

• Total Numbers of leg in a herd of goats and hens is 40.

‏‏‎ ‎

To Do:-

‏‏‎

• Express this information in the form of linear equation of two variables .

‏‏‎ ‎

Solution:-

‏‏‎ ‎

• Let the no. of goats be 'x' and the no. of hens be 'y'

‏‏‎ ‎

• Total number of legs = 4 × (No. of goats) + 2 × (no. of hens) = 40

‏‏‎ ‎

∴ the linear equation becomes,

‏‏‎ ‎

$\tt \boxed{4x + 2y = 40 \: or, 2x + y = 20}$