Himpunan penyelesaian sistem persamaan 1/x + 2/y = 1 dan 3/x+10/y = 4 adalah??

Diketahui :
- 1/x + 2/y = 1
- 3/x + 10/y = 4
- 1/x = a
- 1/y = b
- a + 2b = 1
- 3a + 10b = 4

Ditanya : Nilai x dan y = ....?

Penyelesaian :
- Nilai x :
a + 2b = 1
2b = 1 - a
b = ½ - ½a

3a + 10b = 4
3a + 10(½ - ½ a) = 4
3a + 5 - 5a = 4
- 2a = 4 - 5
- 2a = - 1
a = - 1/- 2
a = ½

1/x = a
1/x = ½
x = 2

- Nilai y :
b = ½ - ½a
b = ½ - ½(½)
b = ½ - ¼
b = ¼

1/y = b
1/y = ¼
y = 4

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