persamaan linier dua variabel

Sistem Persamaan Linier Dua Variabel (SPLDV)

ax + by = C1 a2x + b2y = C2

 

Bentuk umum :

                                                                                      

Mencari penyelesaian / himpunan penyelesaian dengan cara subtitusi / eliminasi

Contoh : tentukan HP!

1.       x + 2y = 3 (1)

3x – y = -5 (2)

-Eliminasi
  x + 2y = 3  | x3| 3x + 6y = 9

  3x – y = -5 |1 | 3x – y = 5                                            

                                       7y = 14
                                        y = 14 : 7
                                        y = 2

-Subtitusi

  (1)  x + 2y = 3
         x + 2 (2) = 3

         X + 4 = 3
                x = 3 – 4

                X = -1

HP = { -1 , 2 }