4/x + 5y = 7 ....(i)
3/x + 4y = 5....(ii)
Assume 1/x = u
4u + 5y =7...(iii)
3u + 4y = 5...(iv)
3 x Equation (iii) - 4 x equation (iv)
12u + 15 y - 12u - 16y = 21 - 20
y = -1
Put value of y in equation (iii)
4u = 7 + 5
u = 12/4 = 3
x = 1/3
Hence value of x, y are 1/3, -1 respectively.