Tentukan nilaix,ydanZdari persamaan liner tiga variabel berikut

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2x-2y-2z=9
X-6y-3z=-28
3x+2y+z=16

Tentukan nilaix,ydanZdari persamaan liner tiga variabel berikut

Jawaban:

2x – 2y – 2z = 9 ║×1 ║ 2x – 2y – 2z = 9

x – 6y – 3z = -28 ║×2║ 2x – 12y – 6y = -56

__________________ –

10y + 4z = 65

x – 6y – 3z = -28 ║×3║ 3x – 18y – 9z = -84

3x + 2y + z = 16 ║×1║ 3x + 2y + z = 16

__________________ –

-20y – 10z = -100

10y + 4z = 65 ║×2║ 20y + 8z = 130

-20y – 10z = -100 ║×1 ║ -20y – 10z = -100

________________+

-2z = 30

z = 30/-2

z = -15

10y + 4z = 65

10y + 4 (-15) = 65

10y – 60 = 65

10y = 65 + 60

10y = 125

y = 125/10

y = 12,5

2x – 2y – 2z = 9

2x – 2 (12,5) – 2 (-15) = 9

2x – 25 + 30 = 9

2x + 5 = 9

2x = 9 – 5

2x = 4

x = 4/2

x = 2

semoga membantu:)