Question

Verify that-
(x + y)-1 = x-1 + y by taking X=-5/11 y=-3/5​

Answer 1

Step-by-step explanation:

LHS

(x+y)-1

$(\frac{ - 5}{11} + \frac{ - 3}{5} ) - 1 \\ = ( \frac{ - 25 - 33}{55} ) - 1 \\ = \frac{ - 58}{55 } - 1 \\ = \frac{ - 58 - 55}{55 } \\ = - \frac{113}{55}$

RHS

x-1+y

$\frac{ - 5}{11} - 1 + ( \frac{ - 3}{5} ) \\ = ( \frac{ - 5}{11} - 1 - \frac{3}{5} ) \\ = \frac{ - 25 - 55 - 33}{55} \\ = - \frac{113}{55}$

So,LHS=RHS