Question

Tentukan himpunan penyelesaian dari SPLDV
2x + 7y = 7
3x - 2y = -27

Answer 1

2x + 7y = 7 (i)
3x - 2y = -27 (ii)
Untuk eliminasi x, (i) kalikan 3 dan (ii) kalikan 2
2x+7y = 7 |x3| 6x+21y = 21
3x-2y = -27 |x2| 6x-4y = -54
Kurangi, didapat 25y = 75, y = 3
Substitusikan y = 3
2x+7y = 7
2x+7.3 = 7
2x+21 = 7
2x = -14
x = -7
HP = {(x,y)|(-7,3)}