Nilai x+y yang memenuhi sistem persamaan :

$frac{2}{x - 1} - frac{1}{y + 2} = 10$
$frac{3}{y + 2} - frac{1}{x - 1} = - 9$
adalah (menggunakan permisalan)

Nilai x+y yang memenuhi sistem persamaan :

Misal A = 1/(x-1)
B = 1/(y+ 2)

2A – B = 10. (1)
-A + 3B = -9. (2)

Dati (1) dan (2)

2A – B = 10
-2A + 6B = -18
———————— +
5B = -8
B = -8/5

6A – 3B = 30
-A + 3B = -9
——————- +
5A = 21
A = 21/5

A = 1/(x-1)
21/5 = 1/(x-1)
21x -21 = 5
21x = 26
x = 26/21

B = 1/(y+2)
-8/5 = 1/(y+2)
-8y – 16 = 5
-8y = 21
y = -21/8

Semoga bisa membantu