x+2y-z=1 2x-y+2z=-7 x+3y+3z=-2
Materi : SPLTV
x + 2y - z = 1
2x - y + 2z = -7 [ y = 2x + 2z + 7 ]
x + 3y + 3z = -2
SPLTV => SPLDV
x + 2( 2x + 2z + 7 ) - z = 1
x + 4x + 4z + 14 - z = 1
5x + 3z = - 13
x + 3( 2x + 2z + 7 ) + 3z = -2
x + 6x + 6z + 21 + 3z = -2
7x + 9z = - 23
SPLDV
5x + 3z = - 13 [ 3z = - 13 - 5x ]
7x + 9z = - 23
7x + ( 9/3 )( - 13 - 5x ) = - 23
7x + 3( - 13 - 5x ) = - 23
7x - 39 - 15x = - 23
- 8x = 39 - 23
- 8x = 16
x = 16/(-8)
[ x = -2 ]
3z = - 13 - 5x
3z = - 13 - 5(-2)
3z = - 13 - ( -10 )
3z = - 13 + 10
3z = -3
z = (-3)/3
[ z = -1 ]
y = 2x + 2z + 7
y = 2(-3) + 2(-1) + 7
y = - 6 - 2 + 7
[ y = -1 ]
Hasil / Result :
( x = -3 , y = -1 , z = -1 )
Semoga bisa membantu
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