1. jika {(x , y , z)} merupakan penyelesaian dari x + 3y -z =13 3x + y -z =11 x + y - 3z =11 tolong di jawab pake caranya yah...

Materi : SPLTV
Kelas : X SMA

x + 3y - z = 13 ......... 1)
3x + y - z = 11 .......... 2)
x + y - 3z = 11 .......... 3)

x + 3y - z = 13
3x + y - z = 11
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-2x + 2y = 2

3x + y - z = 11 .... ×3
x + y - 3z = 11 ...... ×1
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9x + 3y - 3z = 33
x + y - 3z = 11
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8x + 2y = 22

-2x + 2y = 2
8x + 2y = 22
◆◆◆◆◆◆◆◆◆◆ [-]
-10x = -20
x = 2

8x + 2y = 22
8(2) + 2y = 22
16 + 2y = 22
2y = 22 - 16
2y = 6
y = 3

x + 3y - z = 13
2 + 3(3) - z = 13
2 + 9 - z = 13
11 - z = 13
-z = 13 - 11
-z = 2
z = -2

Hp = { 2 , 3 , -2 }