Question

Verify that (-x) + (-y) = -(x+y) where x = -9/11 and y =5/7

Answer 1

Answer:

8/77 is coming on both sides

Step-by-step explanation:

- x = -(-9/11)=9/11

-y = (-5/7) = -5/7

-(x + y) = -(9/11) - 5/7

= 9/11 - 5/7

= 8/77

(-x) + (-y) = 9/11 + (-5/7)

= 9/11 - 5/7

= 8/77

therefore, L.H.S = R.H.S

i.e 8/77 = 8/77

Answer 2

$x = \frac{ - 9}{11} \\ y = \frac{5}{7}$

Now,

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

Again,

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

Here, By solving both ways, we get same answer.

So, It is verified that (-x) + (-y) = -(x+y) where x = -9/11 and y =5/7