Selesaikan sistem persamaan linear 3 variabel dari 2x + 3y - z = 20 3x +2y+ z = 20 X + 4y +2z = 15
Matematika
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Pertanyaan
Selesaikan sistem persamaan linear 3 variabel dari
2x + 3y - z = 20
3x +2y+ z = 20
X + 4y +2z = 15
2x + 3y - z = 20
3x +2y+ z = 20
X + 4y +2z = 15
1 Jawaban
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1. Jawaban Vitruviuz
2x + 3y - z = 20 |x 2| 4x + 6y - 2z = 40
x + 4y + 2z = 15 |x 1| x + 4y + 2z = 15
___________ +
5x + 10y = 55
3x + 2y + z = 20 |x 2| 6x + 4y + 2z = 40
x + 4y + 2z = 15 |x 1| x + 4y + 2z = 15
___________ -
5x = 25
5x + 10y = 55
5x = 25
_______ -
10y = 30
y = 3
5x + 10y = 55
5x + 10(3) = 55
5x = 55 - 30
5x = 25
x = 5
2x + 3y - z = 20
2(5) + 3(3) - z = 20
10 + 9 - z = 20
19 - z = 20
19 - 20 = z
-1 = z
x = 5
y = 3
z = -1
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