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QuestionEverything
@QuestionEverything
May 2021
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Intriguing one, again.
Answers & Comments
TheMarvellousKudi
Hey dear !!
Here is your answer !!
____________________________________
♦♦ Given ->
2/(x+y) - 1/(x-y)=11
5/(x+y) + 4/(x-y) =8
♦♦ Solution ->
Let 1/x+y=p ,1/x-y=q
Now,
2p-1q=11
5p+4q=8
By elimination method
5(2p-q =11) , 2(5p+4q=8)
Subtracting both equations
10p-5q=55
10p+8q=16
We will get
-13q=39
q=-39/13
q=-3
____________________________________
Now put value of q in
2p-q=11
2p-(-3)=11
2p=11-3
2p=9
p=9/2
_____________________________________
Put values of p & q
1/x+y=p , 1/x-y=q
1/x+y=9/2 , 1/x-y=-3
By cross multiplying we get
x+y=9/2 , x-y=-3
By subtracting both equations we get
2y=15/2
y=15/4
Put value of y in
x-y=-3
x-(15/4)=-3
x=-3+15/4
x=3/4
Hence p=9/2 , q=-3 , y=15/4 , x=3/4
Hope it is satisfactory :-)
____________________________________
1 votes
Thanks 12
TheMarvellousKudi
It's mistakenly deleted by a moderator!! so I gave the answer second time ^_^
TheMarvellousKudi
:-)
iamalpha
hello Rammu
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Answers & Comments
Here is your answer !!
____________________________________
♦♦ Given ->
2/(x+y) - 1/(x-y)=11
5/(x+y) + 4/(x-y) =8
♦♦ Solution ->
Let 1/x+y=p ,1/x-y=q
Now,
2p-1q=11
5p+4q=8
By elimination method
5(2p-q =11) , 2(5p+4q=8)
Subtracting both equations
10p-5q=55
10p+8q=16
We will get
-13q=39
q=-39/13
q=-3
____________________________________
Now put value of q in
2p-q=11
2p-(-3)=11
2p=11-3
2p=9
p=9/2
_____________________________________
Put values of p & q
1/x+y=p , 1/x-y=q
1/x+y=9/2 , 1/x-y=-3
By cross multiplying we get
x+y=9/2 , x-y=-3
By subtracting both equations we get
2y=15/2
y=15/4
Put value of y in
x-y=-3
x-(15/4)=-3
x=-3+15/4
x=3/4
Hence p=9/2 , q=-3 , y=15/4 , x=3/4
Hope it is satisfactory :-)
____________________________________