x + y = \(\frac{3}{2}\), x - y = \(\frac{5}{2}\) x + y = \(\frac{3}{2}\), Multiply through by 2 2x + 2y = 3 ---------------- 1 x - y = \(\frac{5}{2}\) Multiply through by 2 2x - 2y = 5 --------------- 2 Add eqn (1 and 2) 4x = 8 x = \(\frac{8}{4}\) = 2 Put x = 2 into either Eqn 1 or Eqn 2 2x - 2y = 5 --------------- 2 2(2) - 2y = 5 4 - 2y = 5 - 2y = 5 - 4 = 1 y = -\(\frac{1}{2}\) 2y + x. = 2 x -\(\frac{1}{2}\) + 2 = -1 + 2 = 1.