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Jawabmisalkan a = 1/x dan b= 1/y
1/x + 1/y = 1/2 → a + b = 1/2 ...(i)
2/x - 3/y = 1/6 → 2a -3b = 1/6 ...(ii)
(i) dan (ii) eliminasi
a + b = 1/2 ...}kali 2
2a - 3b = 1/6
2a + 2b = 1
2a - 3b = 1/6 | (-)
5b = 5/6
b = 1/6→ y = 1/b = 6
a + b =1/2
a + 1/6 = 1/2
a = 1/2 -1/6
a = 1/3 → x = 1/a= 3
x,y = (3, 6)