Question

For x= -9/11 and y= 5/7, verify that (-x)+(-y) = -(x+y)

Chapter:Rational numbers. class 8

Kindly answer fast , correctly and properly with workings​

Answer 1

$\small\bf\pink{Heya!\:mate\:,Here\:is\:ur\:solution}$

Here,

it is given that :

$\sf{➟x = \frac{ - 9}{11} }$

$\sf{➟y = \frac{5}{7} }$

To verify :

• (-x)+(-y) = -(x+y) or not

❥Let's do it !

Let (-x)+(-y) be LHS

and -(x+y) be RHS

➜let's solve the LHS first :

➠LHS = (-x)+(-y)

$\sf{LHS= - ( \frac{ - 9}{11} ) + ( \frac{ - 5}{7})}$

$\sf{ = \frac{9}{11} + ( \frac{ - 5}{7}) } \\ \sf{ = \frac{9}{11} - \frac{5}{7}} \\ \sf{ = \frac{63 - 55}{77} } \\ \sf{ = \frac{8}{77} }$

Therefore,

$\bf{LHS= \frac{8}{77} }$

➠Now lets find the RHS

RHS = -(x+y)

$\sf{RHS= - ( - \frac{9}{11} + \frac{5}{7})}$

$\sf{= - ( \frac{ - 63 + 55}{77})}$

$\sf{= - ( \frac{ - 8}{77} )} \\ \sf{= - - \frac{8}{77} } \\ \sf{= \frac{8}{77} }$

Therefore,

$\bf{RHS = \frac{8}{77}}$

So here we can see that both LHS and RHS is 8/77

Hence, verified.

$\small\bf\blue{Hope\:it\:helps\:uh\::)}$