Tentukan nilai x + y + z dari persamaan : 2x + 3y + z = 6 3x + 2y + z = 7 X + 2y - z = 5
Matematika
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Pertanyaan
Tentukan nilai x + y + z dari persamaan :
2x + 3y + z = 6
3x + 2y + z = 7
X + 2y - z = 5
2x + 3y + z = 6
3x + 2y + z = 7
X + 2y - z = 5
1 Jawaban
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1. Jawaban permatapu3maharani
2x + 3y + z = 6
3x + 2y + z = 7
____________ -
-x + y = -1
3x + 2y + z = 7
x + 2y - z = 5
___________+
4x + 4y = 12 (:4)
-x + y = -1
x + y = 3
________+
2y = 2
y = 1
x + y = 3
x = 3 - 1
x = 2
x + 2y - z = 5
2 + 2 - z = 5
z = 4 - 5
z = -1
x + y + z = 2 + 1 - 1 = 2