Dik SPLTV berikut 2a-3b=2 4a+5c=5 6b-10c=-3 Himpunan penyelesaian SPLTV tersebut adalah

Diketahui :
>>> 2a - 3b = 2
       2a - 2 = 3b

>>> 4a + 5c = 5
       4a = 5 - 5c

>>> 6b - 10c = -3
      (2 . 3b) - 10c = -3
      2(2a - 2) - 10c = -3
      4a - 4 - 10c = -3
      4a - 10c = -3 + 4
      4a - 10c = 1
      (5 - 5c) - 10c = 1
      5 - 1 = 5c + 10c
      4 = 15c
      c = 4/15


Maka,
4a = 5 - 5c
4a = 5 - (5 . 4/15)
4a = 5 - 4/3
4a = 15/3 - 4/3
4a = 11/3
  a = 11/12


dan
6b - 10c = -3
6b - (10 . 4/15) = -3
6b - 8/3 = -3
6b = 8/3 - 3
6b = 8/3 - 9/3
6b = -1/3
b = -1/18

JADI,
a = 11/12
b = -1/18
c = 4/15