selesaikan sistem persamaan linear tiga variabel berikut 2x+y-z=2,x+2y+3z=13,3x-y+z=8
Matematika
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Pertanyaan
selesaikan sistem persamaan linear tiga variabel berikut 2x+y-z=2,x+2y+3z=13,3x-y+z=8
1 Jawaban
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1. Jawaban hendri183
2x +y _ z = 2
x + 2y + 3z = 13
3x _y +z = 8
2x + y _ z =2. x 3
x + 2y + 3z = 13 x 1
6x + 3y _ 3z = 6
x + 2y + 3 z = 13
_______________ +
7x + 5y = 19
x + 2y + 3z = 13. x. 1
3x _ y + z = 8 x 3
x + 2y + 3z = 13
9x _ 3y + 3z = 24
_______________ _
_8x + 5y = _ 11
7x + 5y = 19
_8x + 5y = _ 11
_____________ _
15x = 30
x = 30/15. = 2
7x + 5y = 19
14 + 5y = 19
5y = 19 _ 14 = 5
y = 5/5 = 1
2x + y _ z = 2
4 +1 _z = 2
_z = 2 _ 5 = _3
z = 3