Question

SPLV
Penyelesaian dari sistem persamaan
3x+7y+2z=8
4x+2y-5z=-19
6y-4z=14

Answer 1

3x + 7y + 2z = 8     | ×4
4x + 2y  - 5z = -19  | ×3
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12x + 28y + 8z  = 32
12x +   6y - 15z = -57 -
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22y + 23z = 89

22y + 23z = 89  | ×3
  6y  -   4z = 14  | ×11
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66y + 69z = 267
66y -  44z = 154 -
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113z = 113
z = 113 : 113
z = 1

6y - 4z = 14
6y - 4 × 1 = 14
6y - 4 = 14
6y = 14 + 4
6y = 18
y = 18 : 6
y = 3

3x + 7y + 2z = 8
3x + 7 × 3 + 2 × 1 = 8
3x + 21 + 2 = 8
3x + 23 = 8
3x = 8 - 23
3x = -15
x = -15 : 3
x = -5

HP = {(-5,3,1)}