Question

please write the answers with reason and full answer

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Q. Verify the property x+y = y+x in each of the following :-
(a) -5/11 + 1/5 = 1/5 + -5/11
(b) -3/8 + -3/4 = -3/4 + -3/8
(c) 4 + -2/9 = -2/9 + 4​

Answer 1

Step-by-step explanation:

a) here x = -5/ 11 and y = 1/5

-5/ 11 + 1/5 = 1/5 + -5/11

LCM of 5 and 11 is 55

- 25 + 11 / 55 = 11 + (- 25 )

- 14 / 55 = - 14 / 55

Hence verified.

b) here x = -3/ 8 and y = -3/ 4

- 3 / 8 + - 3 / 4 = -3 / 4 + - 3 / 8

LCM of 4 and 8 is 8

- 3 + ( - 12) / 8 = -12 + ( - 3 ) / 8

-3-12 / 8 = -12-3/ 8

- 15 / 8 = - 15 / 8

Hence verified

c) here x = 4 and y = -2/ 9

4/1 + ( - 2/9 ) = -2 / 9 + 4

LCM of 9 and 1 is 9

36 + ( - 2 ) / 9 = - 2 + 36 / 9

36 - 2 / 9 = - 2 + 36 / 9

34 / 9 = 34 / 9

Hence verified

Hope it helps you