Selesaikan sistem persamaan linier tersebut. {2x + 2y = 8 {5x - 3y = 7

2x + 2y = 8 |×5
5x - 3y = 7 |×2
10x + 10y = 40
10x - 6y = 14
----------------------(-)
16y = 26
y = 26/16

2x + 2y = 8
2x + 2(26/16) = 8
2x + 26/8 = 8
2x = 8 - 26/8
2x = 64/8 - 26/8
2x = 38/8
x = 38/16

hp = {38/16,26/16}

Mapel       : Matematika
Kategori   : SPLDV
Kelas        : SMA / MA kelas X
Semester : Ganjil


Pembahasan:

Eliminasi:
2x + 2y = 8 |5| 10x + 10y = 40
5x - 3y = 7  |2| 10x - 6y    = 14    -
                                  16y = 26
                                      y = 26/16

Substitusi:
2x + 2y = 8
2x + 2(26/16) = 8
2x + 26/8 = 8
2x = 8 - 26/8
2x = 64/8 - 26/8
2x = 38/8
x = 38/16

Maka:
HP = {x = [tex] \frac{38}{16} [/tex], y = [tex] \frac{26}{16} [/tex]}