2x+3y+5z=17 ,3x-y+2z=9 , 5x-2y-3z=8 tentukan x, y, z

Dik : 2x+3y+5z = 17
3x-y+2z = 9
5x-2y-3z = 8
Dit : x, y, z = ?
Jwb :
1. 3x- y+2z = 9
-y = 9-3x+2z
y = -9+3x-2z
2. Substitusikan Y ke dlm persamaan 1 dan 3
2x + 3y + 5z = 17
2x + 3(-9+3x-2z) + 5z = 17
2x - 27 + 9x - 6z + 5z = 17
11x - z = 44 (pers.4)

5x-2y-3z = 8
5x -2(-9+3x-2z) -3z = 8
5x + 18 -3x +4z - 3z = 8
2x + z = -10 (pers.5)
3. Elminasi nilai Z pd pers.4 & 5
[tex] \frac{11x - z = 44}{2x + z = - 10} \\ = 13 x = 34 \\ x = 34 \div 13 \\ x = 2.6[/tex]
4. 11x - z = 44
11(2.6) - z = 44
28.6 - z = 44
-z = 44-28.6
-z = 15.4
z = -15.4

5. Y = -9+3x-2z
= -9 + 3(2.6) - 2(-15.4)
= -9 + 7.8 + 30.8
= 29.6

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