Tentukan Himpunan dari : x + y + 4z = 15 x - y + z = 2 x + 2y - 3z = -4

x + y + 4z = 15
x - y + z = 2
____________-
2y + 3z. = 13...... (1)

x + y + 4z = 15
x +2y- 3z = -4
__________-
-y+7z. = 19. (2)

eliminasi (1) & (2)

2y + 3z = 13 x-1
-y + 7z = 19 x2

-2y -3z = -13
-2y +14z= 38
___________-
- 17 z = -51
z = 3

2y+3z = 13
2y+3(3)=13
2y+9=13
2y = 4
y=2

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

=x,y,z
=(1,2,3)


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