Question

Tentukan himpunan penyelesaian berikut
2/x + 3/y = 12
3/x - 1/y = 7

Answer 1

2/x + 3/y = 12 ...(1)
3/x - 1/y = 7 ...(2)

persamaan (1) kalikan 1 dan persamaan (2) kalikan 3 lalu eliminasi:
2/x + 3/y = 12
9/x - 3/y = 21
___________ +
11/x = 33
x = 1/3

3/(1/3) - 1/y = 7
1/y = 9 - 7 = 2
y = 1/2

maka x = 1/3 dan y = 1/2