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ans: x=1/2 && y=1/3 ....
explanation is given above step by step....
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Answer:
x = 1/2 , y = 1/3
Step-by-step explanation:
Let 1/x be a and 1/y be b.
= 3/2x + 2/3y = 5
= 3a/2 + 2b/3 = 5
= (9a + 4b) / 6 = 5
= 9a + 4b = 30 _________(1)
= 5/x - 3/y = 1
= 5a - 3b = 1 ___________(2)
Multiplying eq. (1) by 3 and eq. (2) by 4
27a + 12b = 90
20a - 12b = 4
Solving these equations, we get
47a = 94
a = 94/47
a = 2
Putting value of a in eq. 1 to find value of b
9a + 4b = 30
9×2 + 4b = 30
18 + 4b = 30
4b = 12
b = 3
1/x = a
= 1/x = 2
= 1 = 2x
= x = 1/2
1/y = b
= 1/y = 3
= 1 = 3y
= y = 1/3
Hope it helps.
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