X-911 and y-57- verify that -x-y-x-y-

Given that, x = 911 #160; #160; #160; y = 57 [ ⇒ ( 9 11 #160; ) +( 5 7 #160; ) = ( 9 11 + 5 7 #160; ) ...

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Byju's Answer

Standard X

Mathematics

Sum of N Terms of an AP

x=-911 and ...

Question

$x = \frac{- 9}{11}$ and $y = \frac{5}{7}$ , verify that $(- x) + (- y) = - (x + y)$ .

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Solution

Given that,
$x = \frac{- 9}{11}$ $y = \frac{5}{7}$
$\begin{matrix} \Rightarrow - (\frac{- 9}{11}) + (- \frac{5}{7}) = - (\frac{- 9}{11} + \frac{5}{7}) \Rightarrow (\frac{9}{11}) + (\frac{- 5}{7}) = - (\frac{- 63 + 55}{77}) \Rightarrow \frac{9}{11} - \frac{5}{7} = - (\frac{- 8}{7}) \Rightarrow \frac{63 - 55}{77} = \frac{8}{7} \Rightarrow \frac{8}{7} = \frac{8}{7} \end{matrix}$
$L . H . S = R . H . S$ proved

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x=−911 and y=57, verify that (−x)+(−y)=−(x+y).

Given that,x=−911 y=57⇒−(−911)+(−57)=−(−911+57)⇒(911)+(−57)=−(−63+5577)⇒911−57=−(−87)⇒63−5577=87⇒87=87L.H.S=R.H.S proved

$x = \frac{- 9}{11}$ and $y = \frac{5}{7}$ , verify that $(- x) + (- y) = - (x + y)$ .