The value of expression mx - ny is 3 when x = 5 and y = 6 and its value is 8 when x = 6 and y = 5. Find the values of m and n.

Given, Value of expression mx - ny is 3 when x = 5 and y = 6. ∴ 5m - 6n = 3 ⇒ 5m = 3 + 6n ⇒ m = ............(1) Value of expression mx - ny is 8 when x = 6 and y = 5. ∴ 6m - 5n = 8 Substituting value of m from equation (1) in above equation. Substituting value of n in equation (1), we get : Hence, m = 3 and n = 2.