Nilai a yg memenuhi SPLTV a-b+c=-1 2a+b+3c=2 3a+4b-c=0 Adalah...

Materi : SPLTV
Kelas : X SMA

a - b + c = -1 ............ [1]
2a + b + 3c = 2 ...... [2]
3a + 4b - c = 0 ....... [3]

a - b + c = -1
2a + b + 3c = 2
•••••••••••••••••••• [+]
3a + 4c = 1

a - b + c = -1 .......... × (4)
3a + 4b - c = 0 ..... × (1)
•••••••••••••••••••••••••••
4a - 4b + 4c = -4
3a + 4b - c = 0
•••••••••••••••••••••••• [+]
7a + 3c = -4

3a + 4c = 1 .......... ×(3)
7a + 3c = -4 ........ ×(4)
•••••••••••••••••••••••••
9a + 12c = 3
28a + 12c = -16
•••••••••••••••••••••• [-]
-19a = 19
a = -1

7a + 3c = -4
7(-1) + 3c = -4
-7 + 3c = -4
3c = -4 + 7
3c = 3
c = 1

a - b + c = -1
-1 - b + 1 = -1
-b = -1
b = 1

Hp = {-1 , 1 , 1 }

2a + b + 3c = 2
a - b + c = -1
--------------------- (+)
3a + 4c = 1

2a + b + 3c = 2 (x4)  -> 8a + 4b + 12c = 8
3a + 4b - c = 0 (x1)   -> 3a + 4b - c = 0
                                     ---------------------------- (-)
                                      5a + 13c = 8

3a + 4c =1 (x13)   -> 39a + 52c = 13
5a + 13c = 8 (x4)  -> 20a + 52c = 32
                                 ---------------------- (-)
                                 19a = -19
                                     a = -1

3a + 4c = 1
3(-1) + 4c = 1
c - 4/4 = 1

a - b + c = -1
-1 -b +1 = -1
-b = -1
b = 1