Solving the equation 2x + 3Y = m.4y + 5Y = n about X, y

Solving the equation 2x + 3Y = m.4y + 5Y = n about X, y

First, multiply the first equation by 2 to get 4x + 6y = 2m
Subtract the second equation to get y = 2m-n
The first equation is replaced by 2x + 3 (2m-n) = M
The solution is x = (3n-5m) / 2
The solutions of the original equations are: x = (3n-5m) / 2, y = 2m-n
Note: your second equation is wrong. It should be 4x + 5Y = n