Question

Tentukan penyelesaian dari SPLDV berikut
9/x - 14/y = 10

6/x + 2/y = 1

Answer 1

Tips:
Berikan terlebih dahulu sehingga:
1/x = a
1/y = b
Dan didapat:
Eliminasi
9a - 14b = 10 [x2]
6a + 2b = 1   [x3]
Didapat:
18a - 28b = 20
18a + 6b = 3
- - - Kurangi - - -
-34b = 17
b = -1/2

Dan,
6a + 2b = 1
6a + 2(-1/2) = 1
6a - 1 = 1
6a = 2
a = 1/3

Dan, ubah ulang:
1/x = a
x = 1/a
x = 1/(1/3)
x = 3

1/y = b
y = 1/b
y = 1/(-1/2)
y = -2

HP = {(3,-2)}