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

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

Jawaban Terkonfirmasi

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}