Penyelesaian : Eliminasi pers. 1 dan pers. 2 10a + 6b = 14.500 (dikali 3) biar a nya bisa habis dikurang 6a + 5b = 9.750 (dikali 5) biar a nya bisa habis dikurang
jadi : 30a + 18b = 43.500 30a + 25b = 48.750 --------------------------- - (dikurangin) -7b = -5.250 b = -5.250/-7 b = 750
Subtitusi b=250 ke pers. 2 6a + 5b = 9.750 6a + 5 x 750 = 9.750 6a + 3.750 = 9.750 6a = 9.750-3.750 6a = 6.000 a = 6.000/6 a = 1.000
Jadi buku = a = Rp1.000, pena = b = 750 Harga 1 buku + 1 pena = 1.000+750 = Rp1.750
Verified answer
B = bukuP = pena
10B + 6P = 14.500 | x3 |
6B. + 5P = 9.750. | x5 |
= 30B + 18P = 43.500
30B.+ 25P = 48.750
-------------------------------- -
-7P = -5250
P = -5250/-7
P = Rp.750
Langsung masukkan ke persamaan tadi :
10B + 6P = 14500
10B + 4500 = 14500
10B = 14500-4500
10B = 10.000
B = 10.000/10
B = Rp.1000
Jadi,harga 1 Buku dan 1 Pena adalah :
1000 + 750 = Rp.1750
semoga membantu :)
buku = a
pena = b
Diketahui :
10 buku + 6 pena = 14.500
10a + 6b = 14.500 (persamaan 1)
6 buku + 5 pena = 9.750
6a + 5b = 9.750 (persamaan 2)
Penyelesaian :
Eliminasi pers. 1 dan pers. 2
10a + 6b = 14.500 (dikali 3) biar a nya bisa habis dikurang
6a + 5b = 9.750 (dikali 5) biar a nya bisa habis dikurang
jadi :
30a + 18b = 43.500
30a + 25b = 48.750
--------------------------- - (dikurangin)
-7b = -5.250
b = -5.250/-7
b = 750
Subtitusi b=250 ke pers. 2
6a + 5b = 9.750
6a + 5 x 750 = 9.750
6a + 3.750 = 9.750
6a = 9.750-3.750
6a = 6.000
a = 6.000/6
a = 1.000
Jadi buku = a = Rp1.000, pena = b = 750
Harga 1 buku + 1 pena = 1.000+750 = Rp1.750
Semoga membantu ^^