We have

and

Lets simplify these equations. Assuming p = 1/x and q = 1/y,

⇒

2q + 5p = 6 …(i)

Also,

⇒

⇒ 4q – 5p = - 3 …(ii)

To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.

Coefficients of p in both equations are already same.

⇒ 6q = 3

⇒ q = 1/2

Substitute q = 1/2 in eq.(i)/eq.(ii), as per convenience of solving.

Thus, substituting in eq.(ii), we get

4(1/2) – 5p = - 3

⇒ 2 – 5p = - 3

⇒ 5p = 5

⇒ p = 1

Thus, p = 1 and q = 1/2

As p = 1/x,

⇒ 1 = 1/x

⇒ x = 1

And q = 1/y,

⇒

⇒ y = 2

Hence, we have x = 1 and y = 2