BIG POINT (50 POINT)
3x + 2y = 12 ... (1)
5x - 3y = 15 ... (2)
Tentukan x + 3y =
3x + 2y = 12 ... (1)
5x - 3y = 15 ... (2)
Tentukan x + 3y =
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Penjelasan dengan langkah-langkah:
SPLDV
3x + 2y = 12 (.... × 5)
5x - 3y = 15 (.... × 3)
.
.
15x + 10y = 60
15x - 9y = 45
---------------------- (-)
19y = 15
y = 15/19
3x + 2y = 12
3x + 2(15/19) = 12
3x + 30/19 = 12
3x = 12 - 30/19
3x = 228/19 - 30/19
3x = 198/19
x = 198/19 : 3/1
x = 198/19 × 1/3
x = 16/19
Maka
x + 3y
= 16/19 + 3(15/19)
= 16/19 + 45/19
= 61/19
= 3,21
Verified answer
SPLDV
Eliminasi per (1) dan (2):
3x + 2y = 12 |×3| 9x + 6y = 36
5x - 3y = 15 |×2| 10x - 6y = 30
__________+
19x = 66
x = 66/19
x = 3,47
Substitusi x ke pers (1) utk mencari y:
3x + 2y = 12
3(3,47) + 2y = 12
10,41 + 2y = 12
2y = 12 - 10,41
2y = 1,59
2y ≈ 1,6
y ≈ 1,6/2
y ≈ 0,8
x + 3y = 3,47 + 3(0,8) = 3,47 + 2,4 = 5,87
Jadi nilai x + 3y adalah 5,87.