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Verified answer
Diketahui :- 2/x - 3/y = 5
- 5/x + 1/y = 21
- 1/x = a
- 1/y = b
- 2a - 3b = 5
- 5a + b = 21
Ditanya : Nilai x dan y = .....?
Penyelesaian :
- Nilai x :
5a + b = 21
b = 21 - 5a
2a - 3b = 5
2a - 3(21 - 5a) = 5
2a - 63 + 15a = 5
2a + 15a = 5 + 63
17a = 68
a = 68/17
a = 4
1/x = a
1/x = 4
1 = 4 × x
4x = 1
x = ¼
- Nilai y :
b = 21 - 5a
b = 21 - 5(4)
b = 21 - 20
b = 1
1/y = b
1/y = 1
1 = 1 × y
y = 1
Jawaban : B. x = ¼ dan y = 1
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