selesaikan dengan cara gabungan eliminasi dan subtitusi 2x+3y-4z=3 -3x+2y+3z=-1 4x-5y+2z=5 Please jawab aku mohon
Matematika
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Pertanyaan
selesaikan dengan cara gabungan eliminasi dan subtitusi
2x+3y-4z=3
-3x+2y+3z=-1
4x-5y+2z=5
Please jawab aku mohon
2x+3y-4z=3
-3x+2y+3z=-1
4x-5y+2z=5
Please jawab aku mohon
1 Jawaban
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1. Jawaban pfthal
2x + 3y - 4z = 3
-3x + 2y + 3z = -1
4x - 5y + 2z = 5
2x + 3y - 4z = 3 || ×3
-3x + 2y + 3z = -1 || ×2
= 6x + 9y - 12z = 9
-6x + 4y + 6z = -2
------------------------- +
13y - 6z = 7
-3x + 2y + 3z = -1 || ×4
4x - 5y + 2z = 5 || ×3
= -12x + 8y + 12z = -4
12x - 15y + 6z = 15
------------------------------ +
-7y + 18z = 11
13y - 6z = 7 ||×3
-7y + 18z = 11 || ×1
= 39y - 18z = 21
-7y + 18z = 11
----------------------- +
32y = 32
y = 1
13(1) - 6z = 7
-6z = -6
z = 1
2x + 3y - 4z = 3
2x + 3(1) - 4(1) = 3
2x = 4
x = 2