tentukan himpunan penyelesaian dari x + y + 2z = 4 2x + 4y +z = -14 3x - 2y + z = -3
Matematika
zildanemuhammad
Pertanyaan
tentukan himpunan penyelesaian dari
x + y + 2z = 4
2x + 4y +z = -14
3x - 2y + z = -3
x + y + 2z = 4
2x + 4y +z = -14
3x - 2y + z = -3
1 Jawaban
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1. Jawaban Riekanisa
x+y+2z =4 |x2| =>2x+2y+4z = 8
2x+4y+z=-14 |x1| => 2x+4y+z =-14
________________ -
-2y+3z = -6
x+y+2z =4 |x3| => 3x+3y+3z = 12
3x-2y+z = -3 |x1| => 3x-2y+z = -3
______________ -
5y- 2z = 15
-2y+3z = -6 |x2| => -4y+6z =-12
5y-2z = 15 |x3| => 15y-6z =45
_____________ -
-19y = -57
y = 57/19
x+y+z = 4 3x-2y+z = -3
x+57/19+z =4 3x-2x57/19+z=-3
x+57+z = 76 3x-114+z =-57
x+z = 19 3x+z = 57
x-z =19 x-z =19
3x+z =57 19-z =19
_________ - z =0
-2x = -38
x = 19