X+y+2z=14 2x+2y+2z=20 X+2y+z=12
Matematika
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Pertanyaan
X+y+2z=14
2x+2y+2z=20
X+2y+z=12
2x+2y+2z=20
X+2y+z=12
1 Jawaban
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1. Jawaban 4452mot
(1) x + y + 2z = 14
(2) 2x + 2y + 2z = 20 (dibagi 2)
(menjadi) x + y + z = 10
(3) x + 2y + z = 12
eliminasi persamaan (1) dan (2)
x + y + 2z = 14
x + y + z = 10
__________-
z = 4
eliminasi persamaan (1) dan (3)
x + y + 2z = 14
x + 2y + z = 12
___________-
-y + z = 2 .........(4)
substitusi nilai z = 4 ke persamaan (4)
-y + z = 2
-y + (4) = 2
y = 4 - 2
y = 2
substitusi nilai y = 2 dan z = 4 ke persamaan (2)
x + y + z = 10
x + (2) + (4) = 10
x = 10 - 6
x = 4
HP (4, 2, 4)