Question

Beparakah HP dari : 6/x - 5/y = 9 dan 7/x - 2/y = 5? beserta caranya cooy

Answer 1

Misal 1/x = a
         1/y = b

(6a - 5b = 9)  x 2 ---> 12a - 10b = 18
(7a - 2b = 5)  x 5 ---> 35a - 10b = 25 (dengan eliminasi dihasilkan)

- 23a = -7
     a = -7/-23 = 7/23

6a - 5b = 9
6(7/23) - 5b = 9
42/23 - 5b = 9
5b = 9 - 42/23
5b = 207/23 - 42/23
5b = 165/23
b = 165/(5 x 23)
b = 33/23

1/x = a
1/x = 7/23
x = 23/7

1/y = b
1/y = 33/23
y = 23/33

HP {23/7 ; 23/33}