Question

Himpunan penyelesaian dari:
2x - 3y = 4
5x + 4y + 13 = 0

Answer 1

2x-3y =4 --->> x = (4 +3y)/2
substitusikan ke pers..
5x+4y= -13 -->> (13 pindah ruas jadi -13)
5 ((4 +3y)/2) +4y= -13
((20 + 15y)/2) +4y = -13
(20 + 15y + 8y)/ 2 = -13 --->> disamakan penyebutnya
20 + 15y + 8y = -13 × 2
20 + 23y= -26
23y = -26 - 20 -->> (20 pindah ruas jadi -20)
y = -46 : 23
y = -2

x = (4 +3y)/2
x = (4 + 3(-2)) /2
x =( 4 -6)/2
x = -2/2
x = -1

jadi hp = {-1, -2}