The given equations are:
x + y = 5xy .......(i)
3x + 2y = 13xy .........(ii)
From equation (i), we have:
.............(iii)
From equation (ii), we have:
.............(iv)
On substituting , we get:
v + u = 5 ...........(v)
3v + 2u = 13 ...........(vi)
On multiplying (v) by 2, we get:
2v + 2u = 10 ..............(vii)
On subtracting (vii) from (vi), we get:
v = 3
On substituting in (iii), we get:
Hence, the required solution is and or x = 0 and y = 0.