solve 2/x+3/y=9/xy ; 4/x+9/y=21/xy (x and y are not equal to 0
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Answer:
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Step-by-step explanation:
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Answered by
0
Answer:
1, 3
Step-by-step explanation:
2/x + 3/y= 9/xy ; 4/x + 9/y = 21/xy
let 1/x be u and 1/y be v
2u + 3v = 9uv ; 4u + 9v = 21uv
Dividing both equations by uv
2/v + 3/u =9 ; 4/v + 9/u = 21
let 1/u be m and 1/v be n
2n + 3m = 9 (1) ; 4n + 9m = 21 (2)
multiplying (1) by 2 on both sides
4n + 6n = 18 (3)
Subtracting (3) from (2)
3m = 3
m = 1
Putting the value of m in (1)
2n + 3 = 9
2n = 6
n = 3
If 1/u = m, then 1/u = 1 => u =1
If 1/v = n , then 1/v =3 => v= 1/3
If 1/x = u, then 1/x = 1 => x = 1
If 1/y = v, then 1/y = 1/3 => y = 3
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