Solving 3x - 2y = -5 and x + 2y = 9 simultaneously using elimination method 3x - 2y = - 5 ----------- (i) x + 2y = 9 ----------- (ii) 4x = 4 x = 1 put x = 1 into eqn ---(ii) x + 2y = 9 becomes 1 + 2y = 9 2y = 9 - 1 = 8 y = \(\frac{8}{2}\) = 4 x = 1 and y = 4 Therefore, \(\frac{x - y}{x + y}\) = \(\frac{1 - 4}{1 + 4}\) = \(\frac{- 3}{5}\)