Kak tolong dibantu dong...tentukan nilai x,y,z dari sistem persamaan linear tiga variabel berikut! 4x+2y-3z=7 2x-3y+z=2 X+y-z=2
Matematika
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Pertanyaan
Kak tolong dibantu dong...tentukan nilai x,y,z dari sistem persamaan linear tiga variabel berikut!
4x+2y-3z=7
2x-3y+z=2
X+y-z=2
4x+2y-3z=7
2x-3y+z=2
X+y-z=2
1 Jawaban
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1. Jawaban BSunShine
Materi : SPLTV
Kelas : X SMA
4x + 2y - 3z = 7 ..... 1)
2x - 3y + z = 2 ....... 2)
x + y - z = 2 ........... 3)
4x + 2y - 3z = 7 ..... ×1
2x - 3y + z = 2 ....... ×2
-------------------------------
4x + 2y - 3z = 7
4x - 6y + 2z = 4
-----------------------------(-)
8y - 5z = 3 .............. 4)
2x - 3y + z = 2 ..... ×1
x + y - z = 2 .......... ×2
------------------------------
2x - 3y + z = 2
2x + 2y - 2z = 4
--------------------------(-)
-5y + 3z = -2 ........... 5)
8y - 5z = 3 ........ ×5
-5y + 3z = -2 ..... ×8
---------------------------
40y - 25z = 15
-40y + 24z = -16
-------------------------(+)
-z = -1
z = 1
-5y + 3z = -2
-5y + 3(1) = -2
-5y = -2 - 3
-5y = -5
y = 1
X + y - z = 2
x + 1 - 1 = 2
x + 0 = 2
x = 2
Hp = { 2 , 1 , 1 }