Question

a/x + b/y = m.
b/x + a/y = n.
solve this equation

Answer 1

a/x + b/y = m -------(1)
bx + a/y = n ---------(2)

I solve this multiplication method .becoz this way you can easily solve this type of question.

multiply a with eqn (1) and b with eqn (2)

a²/x + ab/y = ma
b²/x + ab/y = nb
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subtracting

a²/x - b²/x = ma - nb

( a² - b²)/x = ( ma - nb)

x = (a² - b²)/( ma - nb)

similarly multiply b with equation (1) and a with equation (2) and subtracting

you get ,
b²/y - a²/y =( mb - na)

y = ( b² - a²)/( mb - na)

Answer 2

Answer:

answer is x = (b^2-a^2)/bm-an

y = (b^2 -a^2)/am-bn