himpunan penyelesaian dari sistem persaman berikut adalah... x + y - z = 1 2x + y + z = 11 x + 2y + z = 12 a. {(1,2,3)} b. {(2,3,4)} c. {(3,4,5)} d. {(4,5,6)} e

Materi : SPLTV
Kelas : X SMA

x + y - z = 1 ............ 1)
2x + y + z = 11 ........ 2)
x + 2y + z = 12 ....... 3)

x + y - z = 1
2x + y + z = 11
◆◆◆◆◆◆◆◆◆◆ [+]
3x + 2y = 12

2x + y + z = 11
x + 2y + z = 12
◆◆◆◆◆◆◆◆◆◆ [-]
x - y = -1

3x + 2y = 12 ......... ×1
x - y = -1 ................. × 3
◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆
3x + 2y = 12
3x - 3y = -3
◆◆◆◆◆◆◆◆◆[-]
5y = 15
y = 3

x - y = -1
x - 3 = -1
x = -1 + 3
x = 2

2x + y + z = 11
2(2) + 3 + z = 11
4 + 3 + z = 11
z = 11 - 7
z = 4

B . Hp = {2 , 3 , 4 }

Salam .....