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Solve the pair of linear equations: x/a – y/b = 0 ax + by = a^2 + b^2

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Solve the pair of linear equations:

x/a – y/b = 0

ax + by = a2 + b2

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x/a – y/b = 0

=> bx − ay = 0 ……. (i)

ax + by = a2 + b2 …….. (ii)

Multiplying a and b to equation (i) and (ii) respectively, we get

b2x − aby = 0 …………… (iii)

a2x + aby = a3 + ab3 …… (iv)

Adding equations (iii) and (iv), we get

b2x + a2x = a3 + ab2

x (b2 + a2) = a (a2 + b2) x = a

Using equation (i), we get

b(a) − ay = 0

ab − ay = 0

ay = ab

y = b

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