6/x+2/y= 3 dan 3/x + 8/y=5 adalah
Matematika
adillaauliaputri
Pertanyaan
6/x+2/y= 3 dan 3/x + 8/y=5 adalah
1 Jawaban
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1. Jawaban oktozzfoundfutp4kua6
6/x + 2/y = 3
3/x + 8/y = 5
Misalkan 1/x = a dan 1/y = b
Jadi
6a + 2b = 3
3a + 8b = 5
Eleminasi a
6a + 2b = 3 |× 1| 6a + 2b = 3
3a + 8b = 5 |×2| 6a + 16b= 10 -
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- 14b = -7
b = -7/-14
b = 1/2
Subtitusi b = 1/2 ke pers. 1
6a + 2b = 3
6a + 2(1/2) = 3
6a + 1 = 3
6a = 3-1
6a = 2
a = 2/6 = 1/3
Jadi
a = 1/x
1/3 = 1/x
x = 3
b = 1/y
1/2 = 1/y
y = 2