Diketahui SPLTV :
3x-y+2z=15 ........1
2x+y+z=13 .........2
3x+2y+2z=24 ....3
Tolong diselesaikan dengan metode eliminasi ya???
3x-y+2z=15 ........1
2x+y+z=13 .........2
3x+2y+2z=24 ....3
Tolong diselesaikan dengan metode eliminasi ya???
Verified answer
3x - y + 2z = 152x + y + z = 13
3x + 2y + 2z = 24
3x - y + 2z = 15
3x + 2y + 2z = 24
_____________—
- 3y = - 9
y = 3
3x - y + 2z = 15|× 2
3x + 2y + 2z = 24|× 1
6x - 2y + 4z = 30
3x + 2y + 2z = 24
_____________+
9x + 6z = 54
3x - y + 2z = 15
2x + y + z = 13
___________+
5x + 3z = 28
9x + 6z = 54|× 1
5x + 3z = 28|× 2
9x + 6z = 54
10x + 6z = 56
__________—
- x = - 2
x = 2
9x + 6z = 54|× 5
5x + 3z = 28|× 9
45x + 30z = 270
45x + 27z = 252
____________—
3z = 18
z = 6
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