Himpunan penyelesaian dari.... 1. x + 4y + z = 5 x + z = 6 x + 10y - 5z = 2 2. 5x + y - 2z = - 10 x - 2y + z = 15 x + y + z = 9 Tolong pakai caranya ya
Matematika
Kiki7811
Pertanyaan
Himpunan penyelesaian dari....
1. x + 4y + z = 5
x + z = 6
x + 10y - 5z = 2
2. 5x + y - 2z = - 10
x - 2y + z = 15
x + y + z = 9
Tolong pakai caranya ya
1. x + 4y + z = 5
x + z = 6
x + 10y - 5z = 2
2. 5x + y - 2z = - 10
x - 2y + z = 15
x + y + z = 9
Tolong pakai caranya ya
1 Jawaban
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1. Jawaban rhomadonmuhammad
1.
x +4y + z = 5...(1)
x + z = 6....(4)
x +10y - 5z =2....(2)
pers (1) dan (2)
x + 4y +z = 5 | 10 | 10x + 40y + 10z =50
x + 10y - 5z = 2 | 4 | 4x + 40y - 20z = 8
----------------------------------------------- -
6x + 30z = 42...(5)
pers (4) dan (5)
x + z = 5. | 6 | 6x + 6z = 30
6x + 30z = 42 | 1 | 6x + 30 z = 42
----------------------------------------- -
-24 z = 12
z = -2
x + z = 5
x + (-2) = 5
x = 5 + 2
x = 7
x + 4y + z = 5
7 + 4y + (-2)= 5
7 + 4y+ (-2)= 5
5 + 4y = 5
4y = 5 - 5
4y = 0
y = 0
jadi hp=> { 7, 0,-2}