Question

Solve the following systems of equations:

x + y = 5xy

x + 2y = 13xy, x ≠ 0, y ≠ 0

Answer 1

x + y = 5xy

x + 2y = 13xy, x ≠ 0, y ≠ 0

Subtracting the two eq.

⇒ - y = - 8xy

⇒ x = 1/8

Thus,

1/8 + y = 5y/8

⇒ y = 1/3