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, \(\frac{x - y}{x + y}\) = \(\frac{1 - 4}{1 + 4}\) = \(\frac{- 3}{5}\)