diketahui 2x+2y-3z=-4 2x-y+z=3 3x+y+z=10 berapakah nilai x y dan z
Matematika
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Pertanyaan
diketahui 2x+2y-3z=-4 2x-y+z=3 3x+y+z=10 berapakah nilai x y dan z
1 Jawaban
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1. Jawaban rhomadonmuhammad
2x +2y -3z = -4....pers (1)
2x -y + z = 3 .........pers (2)
3x + y + z = 10 ......pers (3)
pers (1) dan (2)
2x + 2y - 3z = -4
2x -y +z =3
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3y + 4z = 7.... (4)
pers (1) dan (3)
2x+ 2y -3z = -4| 3|6x + 6y - 9z = -12
3x + y + z = 10 | 2| 6x +2y +2z = 20
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4y + 11z = 32 ...(5)
pers (4) dan (5)
3y + 4z =7 | 11| 33y + 44z = 77
4y + 11z = 32 | 4| 16y + 44z = 128
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17y = 51
y= 3
3y + 4z = 7
3(3) + 4z = 7
9 + 4z = 7
4z = 7 -9
4z = -2
z = -2
3x + y + z = 10
3x + (3)+ (-2)= 10
3x + 3 -2 = 10
3x + 1 = 10
3x = 10 - 1
3x = 9
x = 3
jadi nilai dari x , y , z adalah = { 3, -2 , 3}