Question

1. 2x - y + z = 2
x - 2y - 2z = -5
3x - y + z = -3

( cara eliminasi )

plss tolong jawab ya pakai cara

Answer 1

Verified answer

PerSamAan Linier TigA vaRiabLe

(i) 2x - y + z = 2
(ii) x- 2y - 2z = - 5
(iii) 3x - y + z = - 3

Eliminasi z
2x - y + z = 2 ......||kali 2
x - 2y - 2z = - 5
.
4x - 2y + 2z = 4
x - 2y - 2z = - 5
jumlahkan
5x - 4y = - 1 ....(iii)

2x - y + z = 2
3x - y + z = - 3
kurangkan
-x  = 5
x  = - 5 ...(iv)
.
x = - 5 substitusikan ke (iii)
5x - 4y = - 1
5(-5)  - 4y = - 2
-4y = - 2 + 25
y = -  23/4...
.
x = 5 , y = - 23/4 substitusikan ke (i)
2x  - y + z = 2
2(5) - ( -23/4) + z = 2
10  + 23/4 + z = 2
z = 2 - 10 - 23/4
z = - 13 ³/₄ 

(x,y,z)  = (5,  -23/4 ,  - 13 ³/₄)