Solve the following simultaneous equations: 22/(x + y) + 15/(x-y) =5, 55/(x + y) + 40/(x - y) = 13

Given, Equations: ..........(1) ..........(2) Multiplying equation (1) by 5, we get: Multiplying equation (2) by 2, we get: Subtracting equation (3) from (4), we get: Substituting value of x - y from equation (5) in equation (1), we get: Adding equations (5) and (6), we get: Substituting value of x in equation (6), we get: ⇒ x + y = 11 ⇒ 8 + y = 11 ⇒ y = 11 - 8 ⇒ y = 3 Hence, x = 8, y = 3.