Question

Solve the given pair of linear equations,

ax/b + by/a = a+b

ax – by = 2ab

Answer 1

Given: \(\frac{ax}{b}\)+\(\frac{by}{a}\) = a + b ……. (1)

ax – by = 2ab …….. (2)

Substituting y = – a in equation (2) we get 

ax – b(-a) = 2ab 

ax + ab = 2ab 

ax = 2ab – ab = ab 

⇒ x = \(\frac{ab}{a}\) = b 

∴ (x, y) = (b, -a)