Jika diketahui (2/x+3/y=2 & 6/x-9/y=0).besar nilai x+y adalah...

Bab Persamaan Linear
Matematika SMA Kelas X

1/x = a
1/y = b

6a - 9b = 0
6a = 9b
2a = 3b

2a + 3b = 2
3b + 3b = 2
6b = 2
b = 2/6
b = 1/3

2a = 3 . b
2a = 3 . (1/3)
2a = 1
a = 1/2

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

b = 1/y = 1/3
y = 3

x + y = 2 + 3 = 5

Mapel : Matematika
Kelas : VIII SMP
Bab : SPLDV

Pembahasan :
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x + y = 2 + 3 = 5