3/x+2/y=1 dan 4/x-4/y=1

Bab Persamaan Linear
Matematika SMP Kelas VIII

1/x = a
1/y = b

3a + 2b = 1 → dikali 2 → 6a + 4b = 2

4a - 4b = 1
6a + 4b = 2
----------------- +
      10a = 3
          a = 3/10

4a - 4b = 1
4 . (3/10) - 4b = 1
12/10 - 4b = 1
4b = 12/10 - 10/10
4b = 2/10
b = 1/20

1/x = 3/10
x = 10/3

1/y = 1/20
y = 20

HP = { (10/3, 20) }