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Question

Solve : A/B x - B/A y = A+B and Ax - By =2AB

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Solution

ax/b - by/a = a+b ----------- (1)
ax - by = 2ab -------------(2)
By dividing the second equation by 'a' ax/b - by/a = a+b ----------- (1)
x - by/a = 2b -------------(2)
Subtracting equation (2) from equation (1)
(ax/b - x) = (a - b)
x(a/b - 1) = (a - b)
x/b (a - b) = (a - b)
x/b = 1
x = b.

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