di ket a+b-2c= -14 2a-b-c = 5 3a+2b-c =5 hitunglah nilai a+b+c pakai cara
Matematika
ttvv
Pertanyaan
di ket
a+b-2c= -14
2a-b-c = 5
3a+2b-c =5
hitunglah nilai a+b+c pakai cara
a+b-2c= -14
2a-b-c = 5
3a+2b-c =5
hitunglah nilai a+b+c pakai cara
2 Jawaban
-
1. Jawaban MathSolver74
a + b - 2c = - 14 ... (1)
2a - b - c = 5 ... (2)
3a + 2b - c = 5 .. (3)
(1) dan (2) :
a + b - 2c = - 14
2a - b - c = 5
_____________ +
3a - 3c = - 9 ... (4)
(2) dan (3)
4a - 2b - 2c = 10
3a + 2b - c = 5
______________ +
7a - 3c = 15 ... (5)
(4) dan (5)
3a - 3c = - 9
7a - 3c = 15
__________ -
- 4a = - 24
a = 6
c = 9
b = - 2
maka:
a + b + c = 6 + 9 - 2 = 13 -
2. Jawaban subebe
a+ b - 2c = -14
2a - b - c = 5
3a - 3c = -9
2a - b - c = 5 (x2) 4a - 2b - 2c = 10
3a + 2b - c = 5 (x1) 3a +2b - c = 5
7a - 3c = 15
3a - 3c = -9
4a = 24
a = 6
3(6) - 3c = -9
18 - 3c = -9
-3c = -27
c = 9
2a - b - c = 5
2 (6) - b - 9 = 5
b = 12 - 9 - 5
b = -2
a + b + c = 6 - 2 + 9 = 13