solve: 20/x+y +3/x-y =7 and 8/x-y -15/x+y =5
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Answered by
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Given:
20/x+y +3/x-y =7 and 8/x-y -15/x+y =5
To find:
solve: 20/x+y +3/x-y = 7 and 8/x-y -15/x+y = 5
Solution:
From given, we have
20/x+y +3/x-y =7 and 8/x-y -15/x+y = 5
let us consider, 1/(x + y) = u and 1/(x - y) = v
so, we have,
20u + 3v = 7 .........(1)
8v - 15u = 5
⇒ -15u + 8v = 5 .........(2)
solving the equations (1) and (2), we get,
u = 1/5 and v = 1
as we have,
1/(x + y) = u and 1/(x - y) = v
so, we get,
1/(x + y) = 1/5 and 1/(x - y) = 1
⇒ x + y = 5 and x - y = 1
adding these equations, we get,
2x = 6
x = 3
substituting the value of x in one of the above equations, we get,
x + y = 5
3 + y = 5
y = 5 - 3
y = 2
Therefore, the solution of 20/x+y +3/x-y = 7 and 8/x-y -15/x+y = 5 is x = 3 and y = 2.
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here's your ans. mate, hope it helps
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