Himpunan penyelesaian dari SPLDV 4x-2y=16 dan x-3y=9 adalah.. a. {(3,2)} b. {(2,3)} c. {(3,-2)} d. {(-3,2)} pakai cara ya. Makasih~

Bab Sistem Persamaan Linear Dua Variabel
Matematika SMP Kelas VIII

x - 3y = 9
x = 3y + 9

4x - 2y = 16
4 (3y + 9) - 2y = 16
12y + 36 - 2y = 16
10y = 16 - 36
y = -20 : 10
y = -2

x = 3y + 9
x = 3 . (-2) + 9
x = -6 + 9
x = 3

HP = { (3, -2) }

✩✩ C ✩✩

4x - 2y = 16 .............1)
x - 3y = 9 ..................2)

dari pers 2)
x - 3y = 9
x = 9 + 3y

subt ke pers 1

4 ( 9 + 3y) - 2y = 16
36 + 12y - 2y = 16
36 + 10y = 16
10y = 16 - 36
10y = -20
y = - 2


y = -2 sub ke pers 2)

x - 3y = 9
x - 3(-2) =9
x + 6 = 9
x = 9 - 6
x = 3



jdi HP { (x, y) ( 3,-2) }

jwbnnya C


trimaksih smoga mmbantu