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:)