bantuin donk,,, ada yg bsa gk?

SPLTV

2x + 3y + 3z = 4...×2
2x - 6y + 9z = 5...×1

4x + 6y + 6z = 8
2x - 6y + 9z = 5
------------------------ (+)
6x + 15z = 13

4x + 3z = 4......×5
6x + 15z = 13...×1

20x + 15z = 20
6x + 15z = 13
----------------------- (-)
14x = 7
x = 7/14
x = ½

4x + 3z = 4
4(½) + 3z = 4
2 + 3z = 4
3z = 4 - 2 = 2
z = ⅔

2x + 3y + 3z = 4
2(½) + 3y + 3(⅔) = 4
1 + 3y + 2 = 4
3y = 4 - 1 - 2 = 1
y = ⅓

x = ½
y = ⅓
z = ⅔

Ralat

Jadi. jawabannya A.{(½, ⅓, ⅔)}

Semoga membantu ;)

Materi : SPLTV
Kelas : X SMA

2x + 3y + 3z = 4 ......... (1)
2x - 6y + 9z = 5 ......... (2)
4x + 3z = 4 .................. (3)

Metode Campuran
◆◆◆◆◆◆◆◆◆◆◆◆◆◆

》Eliminasi "y" pada persamaan (1) dan (2)

2x + 3y + 3z = 4 ...... ×2
2x - 6y + 9z = 5 ...... ×1
◇◇◇◇◇◇◇◇◇◇◇◇
4x + 6y + 6z = 8
2x - 6y + 9z = 5
◇◇◇◇◇◇◇◇◇◇◇◇ [+]
6x + 15z = 13

4x + 3z = 4 ....... ×5
6x + 15z = 13 .... ×1
◇◇◇◇◇◇◇◇◇◇◇◇◇
20x + 15z = 20
6x + 15z = 13
◇◇◇◇◇◇◇◇◇◇◇◇ [-]
14x = 7
x = 7/14
x = 1/2

4x + 3z = 4
4(1/2) + 3z = 4
2 + 3z = 4
3z = 4 - 2
3z = 2
z = 2/3

2x + 3y + 3z = 4
2(1/2) + 3y + 3(2/3) = 4
1 + 3y + 6/3 = 4
1 + 3y + 2 = 4
3y = 4 - 1 - 2
3y = 1
y = 1/3

Hp = {1/2 , 1/3 , 2/3 }

Jawaban = A

Semangat ^_^