Perhatikan SPLTV berikut 4/x + 1 + 5/y + 2 - 2/z - 3 = 2 persamaan ke satu 2/x+1 - 10/y+2 = -1 persamaan ke dua 8/x+1 + 16/z - 3 = 12 persamaan ke tiga Nilai (x

SPLTV

misal :
1/(x + 1) = a
1/(y + 2) = b
1/(z - 3) = c

4a + 5b - 2c = 2 ... (1)
2a - 10b = -1 ... (2)
8a + 16c = 12 ... (3)

Eliminasi b
Persamaan (2) kalikan 1/2

4a + 5b - 2c = 2
a - 5b = -1/2
----------------------- (+)
5a = 3/2
a = 3/10
1/(x + 1) = 3/10
x + 1 = 10/3
x = 10/3 - 1
x = 7/3 ✔

Dr pers (2)
2a - 10b = -1
6/10 - 10b = -1
10b = 6/10 + 1
10b = 16/10
b = 16/100
b = 4/25
1/(y + 2) = 4/25
y + 2 = 25/4
y = 17/4 ✔

Dari pers (3)
8a + 16c = 12
2a + 4c = 3
6/10 + 4c = 3
4c = 3 - 6/10
c = 6/10
c = 3/5
1/(z - 3) = 3/5
z - 3 = 5/3
z = 14/3 ✔

(x + 3y) : z
= (7/3 + 51/4) : (14/3)
= 3/14 (7/3 + 51/4)
= 1/2 + 153/56
= 1/2 + 2 41/56
= 2 + 69/56
= 3 13/56 ✔