himpunan penyelesaian dari sistem persamaan 1/x +2/y = 11 dan 3/x -2y=1/12

Bab Persamaan Linear
Matematika SMP Kelas VIII

1/x = a
1/y = b

1/x + 2/y = 11 → a + 2b = 11
3/x - 2/y = 1/12 → 3a - 2b = 1/12

a + 2b = 11
3a - 2b = 1/12
-------------------- +
4a = 11 1/12
4a = 133/12
a = 133/48

a + 2b = 11
133/48 + 2b = 11
2b = 11 - 133/48
2b = 528/48 - 133/48
2b = 395/48
b = 395/96

1/x = a
1/x = 133/48
x = 48/133

1/y = b
1/y = 395/96
y = 96/395

HP = {(48/133, 96/395)}