Tentukan himpunan penyelesaian dari persamaan x + y + z = -1 , x + 2y + 3z =5 ,dan 3x -2y-z=9
Matematika
Ayunuraeni179
Pertanyaan
Tentukan himpunan penyelesaian dari persamaan x + y + z = -1 , x + 2y + 3z =5 ,dan 3x -2y-z=9
1 Jawaban
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1. Jawaban RezaAryaM
x + y + z = -1
x + 2y + 3z = 5
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-y -2z = -6
-2z = -6 + y
z = 3 - y/2
x + y + z = -1
x + y + 3 -y/2 = -1
2x + 2y + 6 -y = -2
2x + y = -8
x + y/2 = -4
x = -4 - y/2
x + y + z = -1
-4 -y/2 + y + 3 -y/2 = -1
-8 -y + 2y + 6 -y = -2
0
hp{-4 -y/2, 0, 3 -y/2}