6/x + 12/y = 6

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8/× + 8/y = 6

Nilai dari 2x+y=…

A. 4
B. 8
C. 12
D. 16

/ = per

6/x + 12/y = 6

Jawaban Terkonfirmasi

Kelas 8 Matematika
Bab SPLDV

1/x = a
1/y = b

6a + 12b = 6 → dibagi 3 → 2a + 4b = 2
8a + 8b = 6 → dibagi 2 → 4a + 4b = 3

4a + 4b = 3
2a + 4b = 2
—————– –
2a = 1
a = 1/2

2a + 4b = 2
2 . 1/2 + 4b = 2
4b = 2 – 1
b = 1/4

a = 1/2
1/x = 1/2
x = 2

b = 1/4
1/y = 1/4
y = 4

2x + y
= 2 . 2 + 4
= 4 + 4
= 8