X-2y+z=-1 2x+y-3z=3 3x+3y-2z=10 Butuh secepatnya please
Matematika
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Pertanyaan
X-2y+z=-1
2x+y-3z=3
3x+3y-2z=10
Butuh secepatnya please
2x+y-3z=3
3x+3y-2z=10
Butuh secepatnya please
1 Jawaban
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1. Jawaban fatimah3085
x - 2y + z = - 1 |×3
2x + y - 3z = 3 |×1
3x - 6y + 3z = - 3
2x + y - 3z = 3
-------------------------(+)
5x - 5y = 0 ... pers 1
2x + y - 3z = 3 |×2
3x + 3y - 2z = 10 |×3
4x + 2y - 6z = 6
9x + 9y - 6z = 10
------------------------(-)
- 5x - 7y = - 4 ... pers 2
pers 1 & 2
5x - 5y = 0
-5x - 7y = - 4
-------------------(+)
-12y = - 4
y = 4/12
5x - 5y = 0
5x - 5 . 4/12 = 0
5x - 20/12
5x = 20/12
x = 20/12 ÷ 5
x = 20/12 × 1/5
x = 4/12
x - 2y + z = - 1
4/12 - 2.4/12 + z = - 1
4/12 - 8/12 + z = - 1
- 4/12 + z = - 1
z = - 1 + 4/12
z = - 8/12