1. X+Y-Z=6 2X-3Y-2Z=2 X-Y-5Z=18 2. 2x+y-z=9 x+2y+z=6 3x-y+2z=17 tolong dibantu spl tiga variabelnya yaaa kakak kakak
Matematika
DEPIDEPIDEPI
Pertanyaan
1.
X+Y-Z=6
2X-3Y-2Z=2
X-Y-5Z=18
2.
2x+y-z=9
x+2y+z=6
3x-y+2z=17
tolong dibantu spl tiga variabelnya yaaa kakak kakak
X+Y-Z=6
2X-3Y-2Z=2
X-Y-5Z=18
2.
2x+y-z=9
x+2y+z=6
3x-y+2z=17
tolong dibantu spl tiga variabelnya yaaa kakak kakak
1 Jawaban
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1. Jawaban algebralover
Soal No 1
x + y - z = 6
x - y - 5z = 18
------------------- (+)
2x - 6z = 24............. dibagi 2
x - 3z = 12
x + y - z = 6 .... (× 3) 3x + 3y - 3z = 18
2x - 3y - 2z = 2 .... (× 1) 2x - 3y - 2z = 2
-------------------------- (+)
5x - 5y = 20 ..............dibagi 5
x - y = 4
x - 3z = 12
x - z = 4
--------------- (-)
- 2z = 8
z = - (8 / 2)
z = - 4
x - z = 4
x - (-4) = 4
x + 4 = 4
x = 4 - 4
x = 0
x + y - z = 6
(0) + (y) - (-4) = 6
y + 4 = 6
y = 6 - 4
y = 2
Soal No. 2
2x + y - z = 9
x + 2y + z = 6
--------------------(+)
3x + 3y = 15..........dibagi 3
x + y = 5
3x - y + 2z = 17 ....(× 1) 3x - y + 2z = 17
2x + y - z = 9 ....(× 2) 4x + 2y - 2z = 18
------------------------ (+)
7x + y = 35
x + y = 5 ..... y = 5 - x
Substitusikan ke persamaan berikut
7x + y = 35
7x + (5 - x) = 35
7x + 5 - x = 35
6x = 35 - 5
6x = 30
x = 5
y = 5 - x
y = 5 - (5)
y = 0
Masukan nilai "x" dan "y" ke persamaan berikut
x + 2y + z = 6
(5) + 2 (0) + z = 6
5 + 0 + z = 6
5 + z = 6
z = 6 - 5
z = 1