Eliminasi dari sistem persamaan tiga variabel berikut: 2x-y-z = 6 x-3y+z = -2 x+2y+z = 3
Matematika
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Pertanyaan
Eliminasi dari sistem persamaan tiga variabel berikut:
2x-y-z = 6
x-3y+z = -2
x+2y+z = 3
2x-y-z = 6
x-3y+z = -2
x+2y+z = 3
1 Jawaban
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1. Jawaban agustinash
2x-y-z=6. lx1 l 2x-y-z =6
x+2y+z=3 lx1 l x+2y+z=3
---------------+
3x-y =9
x-3y+z=-2 lx2l. 2x-6y+2z=-4
2x-y-z=6 lx1 l 2x-y-z=6
-----------------_
- 5y +3z=10
x+2y+z=3 (x1) x+2y+z =3
x-3y+z =-2 (x1) x-3y+z=-2
------------------_
5y =5
y=1
y=1→ -5y+3z=10
-5.1+3z =10
3z= 10+5
z=15/3
z=5
x+2y+z=3
x+2.1 +5 =3
x+2+5=3
x+7=3
x=3-7
x=-4