Question

Carilah nilai x, y dan z dari SPLTV di atas !

Answer 1

Verified answer

Jawab

(i) dan (ii)
x  -8y + 2 z = 1
x - 3y + z = 1
.........................(-)
-5y + z= 0 ......(I)

(ii) dan (iii)
x - 3y + z = 1 ........ } kali 2
2x - 10y + 3z = 12

2x - 6y  + 2z = 2
2x -10y + 3z = 12
................................(-)
4y - z = -10 .... (II)

(I) dan (II)
-5y  + z =  0
4y - z = -10
.................(+)
-y = - 10
y = 10

4y - z = -10
z = 4y + 10
z = 4(10) + 10
z = 50

x - 3y  + z = 1
x - 3(10) + 50 = 1
x -30 + 50 = 1
x  + 20 = 1
x =  -19
..
(x,y,z) = ( -19, 10, 50)