Question

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Answer 1

Question :

For x = 3/7 and y = -5/11 ,

verify that ( -x ) + ( -y ) = - ( x+y )

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Given :

• $\sf\:x\:=\:\frac{3}{7}$

• $\sf\:y\:=\:\frac{-5}{11}$

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To :

• Verify whether ( -x ) + ( -y ) = - ( x+y )

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Solution :

$\sf\color{olive}{⛥}$For this question we need to substitute the given values of x and y. Plugging the values and proceeding with simple calculations if we get LHS = RHS our given equation would be verified.

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$\bf\color{red}{⋆}$$\sf\:(-x)+(-y)=-(x+y)$

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Plugging the values of x and y

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‎$\sf\twoheadrightarrow\:(-\frac{3}{7})+[-(\frac{-5}{11})]=[-(\frac{3}{7})+(-\frac{5}{11})]$

‎$\sf\twoheadrightarrow\:(-\frac{3}{7})+[+\frac{5}{11}]=-(\frac{3}{7}-\frac{5}{11})$

‎$\sf\twoheadrightarrow\:-\frac{3}{7}+\frac{5}{11}=-\frac{3}{7}+\frac{5}{11}$

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Calculating LCM of -

• 7 and 11 in LHS = 77 , also
• 7 and 11 in RHS = 77

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‎$\sf\twoheadrightarrow\:\frac{(-3 \times 11)+(7 \times 5)}{77}=\frac{(-3 \times 11)+(7 \times 5)}{77}$

‎$\sf\twoheadrightarrow\:\frac{(-33)+35}{77}=\frac{(-33)+35}{77}$

‎$\sf\twoheadrightarrow\:\frac{-33+35}{77}=\frac{-33+35}{77}$

‎$\sf\twoheadrightarrow\:\frac{2}{77}=\frac{2}{77}$

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Cross multiplying

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$\sf\twoheadrightarrow\:77 \times 2=2 \times 77$

$\sf\twoheadrightarrow\:154=154$

$\sf\color{teal}{\twoheadrightarrow\:LHS~=~RHS}$

Hence Verified !~

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