Diketahui SPLTV berikut 3/x+1 - 2/y-3 + 2/z-1 = -1 4/x+1 + 4/y-3 - 6/z-1 = -9 1/x+1 + 6/y-3 + 2/z-1 = -3 Nilai x+y-z=

misal: x+1 = p ; y-3 = q ; z-1 = r
Jadi:
3/p - 2/q + 2/r = -1    (1)                              
4/p + 4/q - 6/r = -9    (2)                               
1/p + 6/q + 2/r = -3   (3)

4/p + 4/q - 6/r = -9    (2)
3/p - 2/q + 2/r = -1    (1)
------------------------- -
1/p + 6/q - 8/r = -8
1/p + 6/q + 2/r = -3   (3)
------------------------- -
               -10/r = -5
                     r = 2

Substitusi r ke (2) & (1), jadi:
4/p + 4/q = -6     (2)
6/p - 4/q  = -4     (1)*x2
-------------------- +
10/p = -10
     p = -1

4/p + 4/q = -6
-4 + 4/q = -6
        4/q = -2
           q = -2

p = -1 => x + 1 = -1 => x = -2
q = -2 => y - 3 = -2 => y = 1
r = 2 => z - 1 = 2 => z = 3

x + y - z = -2 + 1 - 3 = -4