Selesaikan sistem persamaan linear 3 variabel berikut ! (Dgn caranya ya kak)
Matematika
haudam
Pertanyaan
Selesaikan sistem persamaan linear 3 variabel berikut ! (Dgn caranya ya kak)
1 Jawaban
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1. Jawaban Arkan5283
x + 2y + 3z = 5
2x - 3y + z = 7
3x - y - 2z = 0
3x - y - 2z = 0
x = y/3 + 2/3z
2x - 3y + z = 7
2(y/3 + 2/3z) - 3y + z = 7
2y/3 + 4/3z - 3y + z = 21
2y + 4z - 9y + 3z = 21
- 7y + 7z = 21
x + 2y + 3z = 5
y + 2z + 6y + 9z = 15
7y + 11z = 15
- 7y + 7z = 21
7y + 11z = 15
_________ +
18z = 36
z = 2
7y + 11z = 15
7y + 22 = 15
7y = 15 - 22
7y = - 7
y = - 1
x = y/3 + 2/3z
x = - 1/3 + 4/3
x = 1